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Simplifying 9(4 + -8(a + -8)) = 9(8 + -4a) Reorder the terms: 9(4 + -8(-8 + a)) = 9(8 + -4a) 9(4 + (-8 * -8 + a * -8)) = 9(8 + -4a) 9(4 + (64 + -8a)) = 9(8 + -4a) Combine like terms: 4 + 64 = 68 9(68 + -8a) = 9(8 + -4a) (68 * 9 + -8a * 9) = 9(8 + -4a) (612 + -72a) = 9(8 + -4a) 612 + -72a = (8 * 9 + -4a * 9) 612 + -72a = (72 + -36a) Solving 612 + -72a = 72 + -36a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '36a' to each side of the equation. 612 + -72a + 36a = 72 + -36a + 36a Combine like terms: -72a + 36a = -36a 612 + -36a = 72 + -36a + 36a Combine like terms: -36a + 36a = 0 612 + -36a = 72 + 0 612 + -36a = 72 Add '-612' to each side of the equation. 612 + -612 + -36a = 72 + -612 Combine like terms: 612 + -612 = 0 0 + -36a = 72 + -612 -36a = 72 + -612 Combine like terms: 72 + -612 = -540 -36a = -540 Divide each side by '-36'. a = 15 Simplifying a = 15
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