$\"\"$

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The equation is $\"\"$ .

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$\"\"$ (Distributive property: $\"\"$ )

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$\"\"$ (Multiply the factors)

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$\"\"$ (Add: $\"\"$ )

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$\"\"$

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According to subtraction property of equality; if $\"\"$ , then $\"\"$ .

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$\"\"$ (Subtract 3w from each side)

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

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

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$\"\"$ (Add 1 to each side)

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

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$\"\"$ (Add: $\"\"$ )

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$\"\"$ (Multiply each side by negative one)

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$\"\"$

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Check:

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To check the solution, substitute $\"\"$ in original equation.

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$\"\"$

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

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

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$\"\"$ (Add: $\"\"$ )

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Compare the values, the equation is true.

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$\"\"$

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The value of $\"\"$ .