15+(3-a)(2+1)=-12

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Solution for 15+(3-a)(2+1)=-12 equation:


Simplifying
15 + (3 + -1a)(2 + 1) = -12

Combine like terms: 2 + 1 = 3
15 + (3 + -1a)(3) = -12

Reorder the terms for easier multiplication:
15 + 3(3 + -1a) = -12
15 + (3 * 3 + -1a * 3) = -12
15 + (9 + -3a) = -12

Combine like terms: 15 + 9 = 24
24 + -3a = -12

Solving
24 + -3a = -12

Solving for variable 'a'.

Move all terms containing a to the left, all other terms to the right.

Add '-24' to each side of the equation.
24 + -24 + -3a = -12 + -24

Combine like terms: 24 + -24 = 0
0 + -3a = -12 + -24
-3a = -12 + -24

Combine like terms: -12 + -24 = -36
-3a = -36

Divide each side by '-3'.
a = 12

Simplifying
a = 12

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