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Simplifying -2(q + -29) = 1.5(4 + -8q) Reorder the terms: -2(-29 + q) = 1.5(4 + -8q) (-29 * -2 + q * -2) = 1.5(4 + -8q) (58 + -2q) = 1.5(4 + -8q) 58 + -2q = (4 * 1.5 + -8q * 1.5) 58 + -2q = (6 + -12q) Solving 58 + -2q = 6 + -12q Solving for variable 'q'. Move all terms containing q to the left, all other terms to the right. Add '12q' to each side of the equation. 58 + -2q + 12q = 6 + -12q + 12q Combine like terms: -2q + 12q = 10q 58 + 10q = 6 + -12q + 12q Combine like terms: -12q + 12q = 0 58 + 10q = 6 + 0 58 + 10q = 6 Add '-58' to each side of the equation. 58 + -58 + 10q = 6 + -58 Combine like terms: 58 + -58 = 0 0 + 10q = 6 + -58 10q = 6 + -58 Combine like terms: 6 + -58 = -52 10q = -52 Divide each side by '10'. q = -5.2 Simplifying q = -5.2
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