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Simplifying 9(a + 8) = 8(a + 9) + -6 Reorder the terms: 9(8 + a) = 8(a + 9) + -6 (8 * 9 + a * 9) = 8(a + 9) + -6 (72 + 9a) = 8(a + 9) + -6 Reorder the terms: 72 + 9a = 8(9 + a) + -6 72 + 9a = (9 * 8 + a * 8) + -6 72 + 9a = (72 + 8a) + -6 Reorder the terms: 72 + 9a = 72 + -6 + 8a Combine like terms: 72 + -6 = 66 72 + 9a = 66 + 8a Solving 72 + 9a = 66 + 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 = 66 + 8a + -8a Combine like terms: 9a + -8a = 1a 72 + 1a = 66 + 8a + -8a Combine like terms: 8a + -8a = 0 72 + 1a = 66 + 0 72 + 1a = 66 Add '-72' to each side of the equation. 72 + -72 + 1a = 66 + -72 Combine like terms: 72 + -72 = 0 0 + 1a = 66 + -72 1a = 66 + -72 Combine like terms: 66 + -72 = -6 1a = -6 Divide each side by '1'. a = -6 Simplifying a = -6
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