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Simplifying -2(a + -29) = 0.5(4 + -8a) Reorder the terms: -2(-29 + a) = 0.5(4 + -8a) (-29 * -2 + a * -2) = 0.5(4 + -8a) (58 + -2a) = 0.5(4 + -8a) 58 + -2a = (4 * 0.5 + -8a * 0.5) 58 + -2a = (2 + -4a) Solving 58 + -2a = 2 + -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. 58 + -2a + 4a = 2 + -4a + 4a Combine like terms: -2a + 4a = 2a 58 + 2a = 2 + -4a + 4a Combine like terms: -4a + 4a = 0 58 + 2a = 2 + 0 58 + 2a = 2 Add '-58' to each side of the equation. 58 + -58 + 2a = 2 + -58 Combine like terms: 58 + -58 = 0 0 + 2a = 2 + -58 2a = 2 + -58 Combine like terms: 2 + -58 = -56 2a = -56 Divide each side by '2'. a = -28 Simplifying a = -28
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