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Simplifying 6(a + 5) = 5(a + 6) + -9 Reorder the terms: 6(5 + a) = 5(a + 6) + -9 (5 * 6 + a * 6) = 5(a + 6) + -9 (30 + 6a) = 5(a + 6) + -9 Reorder the terms: 30 + 6a = 5(6 + a) + -9 30 + 6a = (6 * 5 + a * 5) + -9 30 + 6a = (30 + 5a) + -9 Reorder the terms: 30 + 6a = 30 + -9 + 5a Combine like terms: 30 + -9 = 21 30 + 6a = 21 + 5a Solving 30 + 6a = 21 + 5a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-5a' to each side of the equation. 30 + 6a + -5a = 21 + 5a + -5a Combine like terms: 6a + -5a = 1a 30 + 1a = 21 + 5a + -5a Combine like terms: 5a + -5a = 0 30 + 1a = 21 + 0 30 + 1a = 21 Add '-30' to each side of the equation. 30 + -30 + 1a = 21 + -30 Combine like terms: 30 + -30 = 0 0 + 1a = 21 + -30 1a = 21 + -30 Combine like terms: 21 + -30 = -9 1a = -9 Divide each side by '1'. a = -9 Simplifying a = -9
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