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