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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 = -75a 144 + -75a = 9 + 63a + -63a Combine like terms: 63a + -63a = 0 144 + -75a = 9 + 0 144 + -75a = 9 Add '-144' to each side of the equation. 144 + -144 + -75a = 9 + -144 Combine like terms: 144 + -144 = 0 0 + -75a = 9 + -144 -75a = 9 + -144 Combine like terms: 9 + -144 = -135 -75a = -135 Divide each side by '-75'. a = 1.8 Simplifying a = 1.8
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