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Simplifying -2(q + -29) = 0.5(4 + -1q) Reorder the terms: -2(-29 + q) = 0.5(4 + -1q) (-29 * -2 + q * -2) = 0.5(4 + -1q) (58 + -2q) = 0.5(4 + -1q) 58 + -2q = (4 * 0.5 + -1q * 0.5) 58 + -2q = (2 + -0.5q) Solving 58 + -2q = 2 + -0.5q Solving for variable 'q'. Move all terms containing q to the left, all other terms to the right. Add '0.5q' to each side of the equation. 58 + -2q + 0.5q = 2 + -0.5q + 0.5q Combine like terms: -2q + 0.5q = -1.5q 58 + -1.5q = 2 + -0.5q + 0.5q Combine like terms: -0.5q + 0.5q = 0.0 58 + -1.5q = 2 + 0.0 58 + -1.5q = 2 Add '-58' to each side of the equation. 58 + -58 + -1.5q = 2 + -58 Combine like terms: 58 + -58 = 0 0 + -1.5q = 2 + -58 -1.5q = 2 + -58 Combine like terms: 2 + -58 = -56 -1.5q = -56 Divide each side by '-1.5'. q = 37.33333333 Simplifying q = 37.33333333
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