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Simplifying 9(a + 8) = 8(a + 9) + -5 Reorder the terms: 9(8 + a) = 8(a + 9) + -5 (8 * 9 + a * 9) = 8(a + 9) + -5 (72 + 9a) = 8(a + 9) + -5 Reorder the terms: 72 + 9a = 8(9 + a) + -5 72 + 9a = (9 * 8 + a * 8) + -5 72 + 9a = (72 + 8a) + -5 Reorder the terms: 72 + 9a = 72 + -5 + 8a Combine like terms: 72 + -5 = 67 72 + 9a = 67 + 8a Solving 72 + 9a = 67 + 8a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-8a' to each side of the equation. 72 + 9a + -8a = 67 + 8a + -8a Combine like terms: 9a + -8a = 1a 72 + 1a = 67 + 8a + -8a Combine like terms: 8a + -8a = 0 72 + 1a = 67 + 0 72 + 1a = 67 Add '-72' to each side of the equation. 72 + -72 + 1a = 67 + -72 Combine like terms: 72 + -72 = 0 0 + 1a = 67 + -72 1a = 67 + -72 Combine like terms: 67 + -72 = -5 1a = -5 Divide each side by '1'. a = -5 Simplifying a = -5
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