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Simplifying -5(2a + -1) = 2(3 + -4a) + 9 Reorder the terms: -5(-1 + 2a) = 2(3 + -4a) + 9 (-1 * -5 + 2a * -5) = 2(3 + -4a) + 9 (5 + -10a) = 2(3 + -4a) + 9 5 + -10a = (3 * 2 + -4a * 2) + 9 5 + -10a = (6 + -8a) + 9 Reorder the terms: 5 + -10a = 6 + 9 + -8a Combine like terms: 6 + 9 = 15 5 + -10a = 15 + -8a Solving 5 + -10a = 15 + -8a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '8a' to each side of the equation. 5 + -10a + 8a = 15 + -8a + 8a Combine like terms: -10a + 8a = -2a 5 + -2a = 15 + -8a + 8a Combine like terms: -8a + 8a = 0 5 + -2a = 15 + 0 5 + -2a = 15 Add '-5' to each side of the equation. 5 + -5 + -2a = 15 + -5 Combine like terms: 5 + -5 = 0 0 + -2a = 15 + -5 -2a = 15 + -5 Combine like terms: 15 + -5 = 10 -2a = 10 Divide each side by '-2'. a = -5 Simplifying a = -5
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