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Simplifying 10q + -20(1 + -1q) = -20q + 10(1 + -1q) 10q + (1 * -20 + -1q * -20) = -20q + 10(1 + -1q) 10q + (-20 + 20q) = -20q + 10(1 + -1q) Reorder the terms: -20 + 10q + 20q = -20q + 10(1 + -1q) Combine like terms: 10q + 20q = 30q -20 + 30q = -20q + 10(1 + -1q) -20 + 30q = -20q + (1 * 10 + -1q * 10) -20 + 30q = -20q + (10 + -10q) Reorder the terms: -20 + 30q = 10 + -20q + -10q Combine like terms: -20q + -10q = -30q -20 + 30q = 10 + -30q Solving -20 + 30q = 10 + -30q Solving for variable 'q'. Move all terms containing q to the left, all other terms to the right. Add '30q' to each side of the equation. -20 + 30q + 30q = 10 + -30q + 30q Combine like terms: 30q + 30q = 60q -20 + 60q = 10 + -30q + 30q Combine like terms: -30q + 30q = 0 -20 + 60q = 10 + 0 -20 + 60q = 10 Add '20' to each side of the equation. -20 + 20 + 60q = 10 + 20 Combine like terms: -20 + 20 = 0 0 + 60q = 10 + 20 60q = 10 + 20 Combine like terms: 10 + 20 = 30 60q = 30 Divide each side by '60'. q = 0.5 Simplifying q = 0.5
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