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Simplifying -5a + 3(a + -9) = 9(a + 8) Reorder the terms: -5a + 3(-9 + a) = 9(a + 8) -5a + (-9 * 3 + a * 3) = 9(a + 8) -5a + (-27 + 3a) = 9(a + 8) Reorder the terms: -27 + -5a + 3a = 9(a + 8) Combine like terms: -5a + 3a = -2a -27 + -2a = 9(a + 8) Reorder the terms: -27 + -2a = 9(8 + a) -27 + -2a = (8 * 9 + a * 9) -27 + -2a = (72 + 9a) Solving -27 + -2a = 72 + 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. -27 + -2a + -9a = 72 + 9a + -9a Combine like terms: -2a + -9a = -11a -27 + -11a = 72 + 9a + -9a Combine like terms: 9a + -9a = 0 -27 + -11a = 72 + 0 -27 + -11a = 72 Add '27' to each side of the equation. -27 + 27 + -11a = 72 + 27 Combine like terms: -27 + 27 = 0 0 + -11a = 72 + 27 -11a = 72 + 27 Combine like terms: 72 + 27 = 99 -11a = 99 Divide each side by '-11'. a = -9 Simplifying a = -9
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