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Simplifying -12(a + -4) = 3(6 + a) Reorder the terms: -12(-4 + a) = 3(6 + a) (-4 * -12 + a * -12) = 3(6 + a) (48 + -12a) = 3(6 + a) 48 + -12a = (6 * 3 + a * 3) 48 + -12a = (18 + 3a) Solving 48 + -12a = 18 + 3a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-3a' to each side of the equation. 48 + -12a + -3a = 18 + 3a + -3a Combine like terms: -12a + -3a = -15a 48 + -15a = 18 + 3a + -3a Combine like terms: 3a + -3a = 0 48 + -15a = 18 + 0 48 + -15a = 18 Add '-48' to each side of the equation. 48 + -48 + -15a = 18 + -48 Combine like terms: 48 + -48 = 0 0 + -15a = 18 + -48 -15a = 18 + -48 Combine like terms: 18 + -48 = -30 -15a = -30 Divide each side by '-15'. a = 2 Simplifying a = 2
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