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Simplifying -20q + 80(1 + -1q) = -100q + 100(1 + -1q) -20q + (1 * 80 + -1q * 80) = -100q + 100(1 + -1q) -20q + (80 + -80q) = -100q + 100(1 + -1q) Reorder the terms: 80 + -20q + -80q = -100q + 100(1 + -1q) Combine like terms: -20q + -80q = -100q 80 + -100q = -100q + 100(1 + -1q) 80 + -100q = -100q + (1 * 100 + -1q * 100) 80 + -100q = -100q + (100 + -100q) Reorder the terms: 80 + -100q = 100 + -100q + -100q Combine like terms: -100q + -100q = -200q 80 + -100q = 100 + -200q Solving 80 + -100q = 100 + -200q Solving for variable 'q'. Move all terms containing q to the left, all other terms to the right. Add '200q' to each side of the equation. 80 + -100q + 200q = 100 + -200q + 200q Combine like terms: -100q + 200q = 100q 80 + 100q = 100 + -200q + 200q Combine like terms: -200q + 200q = 0 80 + 100q = 100 + 0 80 + 100q = 100 Add '-80' to each side of the equation. 80 + -80 + 100q = 100 + -80 Combine like terms: 80 + -80 = 0 0 + 100q = 100 + -80 100q = 100 + -80 Combine like terms: 100 + -80 = 20 100q = 20 Divide each side by '100'. q = 0.2 Simplifying q = 0.2
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