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$\"\"$ $\"\"$ $\"\"$

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Standard form line equation is $\"\"$ , where A, B and C are integers.

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Rewrite the equation so that variables are on the same side and constants

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are on the other side of the equation.

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$\"\"$

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$\"\"$

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Multiply each side by 3 to eliminate the fraction

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$\"\"$

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$\"\"$ (Apply distributive property: $\"\"$ )

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$\"\"$ (Cancel common terms)

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$\"\"$ (Multiply: $\"\"$ ) $\"\"$

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$\"\"$ (Subtract 5x from each side)

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$\"\"$ (Commutative property of Addition: $\"\"$ )

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$\"\"$ (Additive inverse property: $\"\"$ )

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$\"\"$ (Additive identity property: $\"\"$ ) $\"\"$

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$\"\"$ (Subtract 6 from each side)

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$\"\"$ (Additive inverse property: $\"\"$ )

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$\"\"$ (Additive identity property: $\"\"$ )

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$\"\"$ (Subtract: $\"\"$ )

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Rewrite the equation in standard form

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$\"\"$

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$\"\"$

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In standard form line equation x coefficient $\"\"$ is always greater than or equal to zero. So, equation can write in standard form by multiplying the equation by negative one.

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$\"\"$

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$\"\"$

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The standard form line equation is $\"\"$ .