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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 = -6q 58 + -6q = -2 + 4q + -4q Combine like terms: 4q + -4q = 0 58 + -6q = -2 + 0 58 + -6q = -2 Add '-58' to each side of the equation. 58 + -58 + -6q = -2 + -58 Combine like terms: 58 + -58 = 0 0 + -6q = -2 + -58 -6q = -2 + -58 Combine like terms: -2 + -58 = -60 -6q = -60 Divide each side by '-6'. q = 10 Simplifying q = 10
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