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Simplifying 5(2 + -1q + -1) = -5 + 10q Reorder the terms: 5(2 + -1 + -1q) = -5 + 10q Combine like terms: 2 + -1 = 1 5(1 + -1q) = -5 + 10q (1 * 5 + -1q * 5) = -5 + 10q (5 + -5q) = -5 + 10q Solving 5 + -5q = -5 + 10q Solving for variable 'q'. Move all terms containing q to the left, all other terms to the right. Add '-10q' to each side of the equation. 5 + -5q + -10q = -5 + 10q + -10q Combine like terms: -5q + -10q = -15q 5 + -15q = -5 + 10q + -10q Combine like terms: 10q + -10q = 0 5 + -15q = -5 + 0 5 + -15q = -5 Add '-5' to each side of the equation. 5 + -5 + -15q = -5 + -5 Combine like terms: 5 + -5 = 0 0 + -15q = -5 + -5 -15q = -5 + -5 Combine like terms: -5 + -5 = -10 -15q = -10 Divide each side by '-15'. q = 0.6666666667 Simplifying q = 0.6666666667
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