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Simplifying 5(-8a + 3) = -29 + 4a Reorder the terms: 5(3 + -8a) = -29 + 4a (3 * 5 + -8a * 5) = -29 + 4a (15 + -40a) = -29 + 4a Solving 15 + -40a = -29 + 4a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-4a' to each side of the equation. 15 + -40a + -4a = -29 + 4a + -4a Combine like terms: -40a + -4a = -44a 15 + -44a = -29 + 4a + -4a Combine like terms: 4a + -4a = 0 15 + -44a = -29 + 0 15 + -44a = -29 Add '-15' to each side of the equation. 15 + -15 + -44a = -29 + -15 Combine like terms: 15 + -15 = 0 0 + -44a = -29 + -15 -44a = -29 + -15 Combine like terms: -29 + -15 = -44 -44a = -44 Divide each side by '-44'. a = 1 Simplifying a = 1
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