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Simplifying 3(2a + 5) = 3(a + 3) Reorder the terms: 3(5 + 2a) = 3(a + 3) (5 * 3 + 2a * 3) = 3(a + 3) (15 + 6a) = 3(a + 3) Reorder the terms: 15 + 6a = 3(3 + a) 15 + 6a = (3 * 3 + a * 3) 15 + 6a = (9 + 3a) Solving 15 + 6a = 9 + 3a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-3a' to each side of the equation. 15 + 6a + -3a = 9 + 3a + -3a Combine like terms: 6a + -3a = 3a 15 + 3a = 9 + 3a + -3a Combine like terms: 3a + -3a = 0 15 + 3a = 9 + 0 15 + 3a = 9 Add '-15' to each side of the equation. 15 + -15 + 3a = 9 + -15 Combine like terms: 15 + -15 = 0 0 + 3a = 9 + -15 3a = 9 + -15 Combine like terms: 9 + -15 = -6 3a = -6 Divide each side by '3'. a = -2 Simplifying a = -2
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