
The equation is a
(
12) = 6.
a + 12 = 6 (Product of two opposite signs is positive)
\Apply subtraction property of equality: Subtract 12 from each side.
\a + 12
12 = 6
12
a + 0 = 6
12 (Apply additive inverse property: 12
12 = 0)
a =
6 (Apply additive identity property: a + 0 = a)
a =
6 (Subtract: 6
12=
6)
Check:
\To check the solution, substitute a =
6 in original equation.
a + 12 = 6
6 + 12 = 6
6 = 6 (Add:
6 + 12 = 6)
The statement is true.
The value of a =
6.