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Simplifying 5(a + 3) = 3(a + -1) Reorder the terms: 5(3 + a) = 3(a + -1) (3 * 5 + a * 5) = 3(a + -1) (15 + 5a) = 3(a + -1) Reorder the terms: 15 + 5a = 3(-1 + a) 15 + 5a = (-1 * 3 + a * 3) 15 + 5a = (-3 + 3a) Solving 15 + 5a = -3 + 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 + 5a + -3a = -3 + 3a + -3a Combine like terms: 5a + -3a = 2a 15 + 2a = -3 + 3a + -3a Combine like terms: 3a + -3a = 0 15 + 2a = -3 + 0 15 + 2a = -3 Add '-15' to each side of the equation. 15 + -15 + 2a = -3 + -15 Combine like terms: 15 + -15 = 0 0 + 2a = -3 + -15 2a = -3 + -15 Combine like terms: -3 + -15 = -18 2a = -18 Divide each side by '2'. a = -9 Simplifying a = -9
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