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Simplifying q + 10(1 + -1q) = 5q + (1 + -1q) q + (1 * 10 + -1q * 10) = 5q + (1 + -1q) q + (10 + -10q) = 5q + (1 + -1q) Reorder the terms: 10 + q + -10q = 5q + (1 + -1q) Combine like terms: q + -10q = -9q 10 + -9q = 5q + (1 + -1q) Remove parenthesis around (1 + -1q) 10 + -9q = 5q + 1 + -1q Reorder the terms: 10 + -9q = 1 + 5q + -1q Combine like terms: 5q + -1q = 4q 10 + -9q = 1 + 4q Solving 10 + -9q = 1 + 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. 10 + -9q + -4q = 1 + 4q + -4q Combine like terms: -9q + -4q = -13q 10 + -13q = 1 + 4q + -4q Combine like terms: 4q + -4q = 0 10 + -13q = 1 + 0 10 + -13q = 1 Add '-10' to each side of the equation. 10 + -10 + -13q = 1 + -10 Combine like terms: 10 + -10 = 0 0 + -13q = 1 + -10 -13q = 1 + -10 Combine like terms: 1 + -10 = -9 -13q = -9 Divide each side by '-13'. q = 0.6923076923 Simplifying q = 0.6923076923
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