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Simplifying -2(q + -29) = 0.5(4 + -8q) Reorder the terms: -2(-29 + q) = 0.5(4 + -8q) (-29 * -2 + q * -2) = 0.5(4 + -8q) (58 + -2q) = 0.5(4 + -8q) 58 + -2q = (4 * 0.5 + -8q * 0.5) 58 + -2q = (2 + -4q) Solving 58 + -2q = 2 + -4q Solving for variable 'q'. Move all terms containing q to the left, all other terms to the right. Add '4q' to each side of the equation. 58 + -2q + 4q = 2 + -4q + 4q Combine like terms: -2q + 4q = 2q 58 + 2q = 2 + -4q + 4q Combine like terms: -4q + 4q = 0 58 + 2q = 2 + 0 58 + 2q = 2 Add '-58' to each side of the equation. 58 + -58 + 2q = 2 + -58 Combine like terms: 58 + -58 = 0 0 + 2q = 2 + -58 2q = 2 + -58 Combine like terms: 2 + -58 = -56 2q = -56 Divide each side by '2'. q = -28 Simplifying q = -28
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