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Simplifying -9(7a + 12) = -9(a + 6) Reorder the terms: -9(12 + 7a) = -9(a + 6) (12 * -9 + 7a * -9) = -9(a + 6) (-108 + -63a) = -9(a + 6) Reorder the terms: -108 + -63a = -9(6 + a) -108 + -63a = (6 * -9 + a * -9) -108 + -63a = (-54 + -9a) Solving -108 + -63a = -54 + -9a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '9a' to each side of the equation. -108 + -63a + 9a = -54 + -9a + 9a Combine like terms: -63a + 9a = -54a -108 + -54a = -54 + -9a + 9a Combine like terms: -9a + 9a = 0 -108 + -54a = -54 + 0 -108 + -54a = -54 Add '108' to each side of the equation. -108 + 108 + -54a = -54 + 108 Combine like terms: -108 + 108 = 0 0 + -54a = -54 + 108 -54a = -54 + 108 Combine like terms: -54 + 108 = 54 -54a = 54 Divide each side by '-54'. a = -1 Simplifying a = -1
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