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Simplifying -3(a + 9) = 12(a + -1) Reorder the terms: -3(9 + a) = 12(a + -1) (9 * -3 + a * -3) = 12(a + -1) (-27 + -3a) = 12(a + -1) Reorder the terms: -27 + -3a = 12(-1 + a) -27 + -3a = (-1 * 12 + a * 12) -27 + -3a = (-12 + 12a) Solving -27 + -3a = -12 + 12a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-12a' to each side of the equation. -27 + -3a + -12a = -12 + 12a + -12a Combine like terms: -3a + -12a = -15a -27 + -15a = -12 + 12a + -12a Combine like terms: 12a + -12a = 0 -27 + -15a = -12 + 0 -27 + -15a = -12 Add '27' to each side of the equation. -27 + 27 + -15a = -12 + 27 Combine like terms: -27 + 27 = 0 0 + -15a = -12 + 27 -15a = -12 + 27 Combine like terms: -12 + 27 = 15 -15a = 15 Divide each side by '-15'. a = -1 Simplifying a = -1
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