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Simplifying -12(a + -12) = -9(1 + 7a) Reorder the terms: -12(-12 + a) = -9(1 + 7a) (-12 * -12 + a * -12) = -9(1 + 7a) (144 + -12a) = -9(1 + 7a) 144 + -12a = (1 * -9 + 7a * -9) 144 + -12a = (-9 + -63a) Solving 144 + -12a = -9 + -63a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '63a' to each side of the equation. 144 + -12a + 63a = -9 + -63a + 63a Combine like terms: -12a + 63a = 51a 144 + 51a = -9 + -63a + 63a Combine like terms: -63a + 63a = 0 144 + 51a = -9 + 0 144 + 51a = -9 Add '-144' to each side of the equation. 144 + -144 + 51a = -9 + -144 Combine like terms: 144 + -144 = 0 0 + 51a = -9 + -144 51a = -9 + -144 Combine like terms: -9 + -144 = -153 51a = -153 Divide each side by '51'. a = -3 Simplifying a = -3
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