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Simplifying 7.5(2 + -1q) = -5(0.5q + 1) (2 * 7.5 + -1q * 7.5) = -5(0.5q + 1) (15 + -7.5q) = -5(0.5q + 1) Reorder the terms: 15 + -7.5q = -5(1 + 0.5q) 15 + -7.5q = (1 * -5 + 0.5q * -5) 15 + -7.5q = (-5 + -2.5q) Solving 15 + -7.5q = -5 + -2.5q Solving for variable 'q'. Move all terms containing q to the left, all other terms to the right. Add '2.5q' to each side of the equation. 15 + -7.5q + 2.5q = -5 + -2.5q + 2.5q Combine like terms: -7.5q + 2.5q = -5q 15 + -5q = -5 + -2.5q + 2.5q Combine like terms: -2.5q + 2.5q = 0.0 15 + -5q = -5 + 0.0 15 + -5q = -5 Add '-15' to each side of the equation. 15 + -15 + -5q = -5 + -15 Combine like terms: 15 + -15 = 0 0 + -5q = -5 + -15 -5q = -5 + -15 Combine like terms: -5 + -15 = -20 -5q = -20 Divide each side by '-5'. q = 4 Simplifying q = 4
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