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Simplifying -80q + 60(1 + -1q) = 70q + -50(1 + -1q) -80q + (1 * 60 + -1q * 60) = 70q + -50(1 + -1q) -80q + (60 + -60q) = 70q + -50(1 + -1q) Reorder the terms: 60 + -80q + -60q = 70q + -50(1 + -1q) Combine like terms: -80q + -60q = -140q 60 + -140q = 70q + -50(1 + -1q) 60 + -140q = 70q + (1 * -50 + -1q * -50) 60 + -140q = 70q + (-50 + 50q) Reorder the terms: 60 + -140q = -50 + 70q + 50q Combine like terms: 70q + 50q = 120q 60 + -140q = -50 + 120q Solving 60 + -140q = -50 + 120q Solving for variable 'q'. Move all terms containing q to the left, all other terms to the right. Add '-120q' to each side of the equation. 60 + -140q + -120q = -50 + 120q + -120q Combine like terms: -140q + -120q = -260q 60 + -260q = -50 + 120q + -120q Combine like terms: 120q + -120q = 0 60 + -260q = -50 + 0 60 + -260q = -50 Add '-60' to each side of the equation. 60 + -60 + -260q = -50 + -60 Combine like terms: 60 + -60 = 0 0 + -260q = -50 + -60 -260q = -50 + -60 Combine like terms: -50 + -60 = -110 -260q = -110 Divide each side by '-260'. q = 0.4230769231 Simplifying q = 0.4230769231
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