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Simplifying -3(-3a + -2) + -2(-2 + 2a) = 15 Reorder the terms: -3(-2 + -3a) + -2(-2 + 2a) = 15 (-2 * -3 + -3a * -3) + -2(-2 + 2a) = 15 (6 + 9a) + -2(-2 + 2a) = 15 6 + 9a + (-2 * -2 + 2a * -2) = 15 6 + 9a + (4 + -4a) = 15 Reorder the terms: 6 + 4 + 9a + -4a = 15 Combine like terms: 6 + 4 = 10 10 + 9a + -4a = 15 Combine like terms: 9a + -4a = 5a 10 + 5a = 15 Solving 10 + 5a = 15 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-10' to each side of the equation. 10 + -10 + 5a = 15 + -10 Combine like terms: 10 + -10 = 0 0 + 5a = 15 + -10 5a = 15 + -10 Combine like terms: 15 + -10 = 5 5a = 5 Divide each side by '5'. a = 1 Simplifying a = 1
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