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Simplifying 3(2a + 5) = 5(a + 2) Reorder the terms: 3(5 + 2a) = 5(a + 2) (5 * 3 + 2a * 3) = 5(a + 2) (15 + 6a) = 5(a + 2) Reorder the terms: 15 + 6a = 5(2 + a) 15 + 6a = (2 * 5 + a * 5) 15 + 6a = (10 + 5a) Solving 15 + 6a = 10 + 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. 15 + 6a + -5a = 10 + 5a + -5a Combine like terms: 6a + -5a = 1a 15 + 1a = 10 + 5a + -5a Combine like terms: 5a + -5a = 0 15 + 1a = 10 + 0 15 + 1a = 10 Add '-15' to each side of the equation. 15 + -15 + 1a = 10 + -15 Combine like terms: 15 + -15 = 0 0 + 1a = 10 + -15 1a = 10 + -15 Combine like terms: 10 + -15 = -5 1a = -5 Divide each side by '1'. a = -5 Simplifying a = -5
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