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Simplifying -5q + 1.5 = -25.7 + -1.6q Reorder the terms: 1.5 + -5q = -25.7 + -1.6q Solving 1.5 + -5q = -25.7 + -1.6q Solving for variable 'q'. Move all terms containing q to the left, all other terms to the right. Add '1.6q' to each side of the equation. 1.5 + -5q + 1.6q = -25.7 + -1.6q + 1.6q Combine like terms: -5q + 1.6q = -3.4q 1.5 + -3.4q = -25.7 + -1.6q + 1.6q Combine like terms: -1.6q + 1.6q = 0.0 1.5 + -3.4q = -25.7 + 0.0 1.5 + -3.4q = -25.7 Add '-1.5' to each side of the equation. 1.5 + -1.5 + -3.4q = -25.7 + -1.5 Combine like terms: 1.5 + -1.5 = 0.0 0.0 + -3.4q = -25.7 + -1.5 -3.4q = -25.7 + -1.5 Combine like terms: -25.7 + -1.5 = -27.2 -3.4q = -27.2 Divide each side by '-3.4'. q = 8 Simplifying q = 8
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