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Simplifying 3(a + 5) = 2(a + 6) Reorder the terms: 3(5 + a) = 2(a + 6) (5 * 3 + a * 3) = 2(a + 6) (15 + 3a) = 2(a + 6) Reorder the terms: 15 + 3a = 2(6 + a) 15 + 3a = (6 * 2 + a * 2) 15 + 3a = (12 + 2a) Solving 15 + 3a = 12 + 2a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-2a' to each side of the equation. 15 + 3a + -2a = 12 + 2a + -2a Combine like terms: 3a + -2a = 1a 15 + 1a = 12 + 2a + -2a Combine like terms: 2a + -2a = 0 15 + 1a = 12 + 0 15 + 1a = 12 Add '-15' to each side of the equation. 15 + -15 + 1a = 12 + -15 Combine like terms: 15 + -15 = 0 0 + 1a = 12 + -15 1a = 12 + -15 Combine like terms: 12 + -15 = -3 1a = -3 Divide each side by '1'. a = -3 Simplifying a = -3
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