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Simplifying 3(a + 3) + 2(a + -2) = -15 Reorder the terms: 3(3 + a) + 2(a + -2) = -15 (3 * 3 + a * 3) + 2(a + -2) = -15 (9 + 3a) + 2(a + -2) = -15 Reorder the terms: 9 + 3a + 2(-2 + a) = -15 9 + 3a + (-2 * 2 + a * 2) = -15 9 + 3a + (-4 + 2a) = -15 Reorder the terms: 9 + -4 + 3a + 2a = -15 Combine like terms: 9 + -4 = 5 5 + 3a + 2a = -15 Combine like terms: 3a + 2a = 5a 5 + 5a = -15 Solving 5 + 5a = -15 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-5' to each side of the equation. 5 + -5 + 5a = -15 + -5 Combine like terms: 5 + -5 = 0 0 + 5a = -15 + -5 5a = -15 + -5 Combine like terms: -15 + -5 = -20 5a = -20 Divide each side by '5'. a = -4 Simplifying a = -4
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