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Simplifying 0.5(5q + 8) = 4q + -5 Reorder the terms: 0.5(8 + 5q) = 4q + -5 (8 * 0.5 + 5q * 0.5) = 4q + -5 (4 + 2.5q) = 4q + -5 Reorder the terms: 4 + 2.5q = -5 + 4q Solving 4 + 2.5q = -5 + 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. 4 + 2.5q + -4q = -5 + 4q + -4q Combine like terms: 2.5q + -4q = -1.5q 4 + -1.5q = -5 + 4q + -4q Combine like terms: 4q + -4q = 0 4 + -1.5q = -5 + 0 4 + -1.5q = -5 Add '-4' to each side of the equation. 4 + -4 + -1.5q = -5 + -4 Combine like terms: 4 + -4 = 0 0 + -1.5q = -5 + -4 -1.5q = -5 + -4 Combine like terms: -5 + -4 = -9 -1.5q = -9 Divide each side by '-1.5'. q = 6 Simplifying q = 6
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