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Simplifying 3 + 0.5(4a + 8) = 9 + -29 Reorder the terms: 3 + 0.5(8 + 4a) = 9 + -29 3 + (8 * 0.5 + 4a * 0.5) = 9 + -29 3 + (4 + 2a) = 9 + -29 Combine like terms: 3 + 4 = 7 7 + 2a = 9 + -29 Combine like terms: 9 + -29 = -20 7 + 2a = -20 Solving 7 + 2a = -20 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-7' to each side of the equation. 7 + -7 + 2a = -20 + -7 Combine like terms: 7 + -7 = 0 0 + 2a = -20 + -7 2a = -20 + -7 Combine like terms: -20 + -7 = -27 2a = -27 Divide each side by '2'. a = -13.5 Simplifying a = -13.5
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