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Simplifying 7(1 + -1q) = 5(5 + 3q) (1 * 7 + -1q * 7) = 5(5 + 3q) (7 + -7q) = 5(5 + 3q) 7 + -7q = (5 * 5 + 3q * 5) 7 + -7q = (25 + 15q) Solving 7 + -7q = 25 + 15q Solving for variable 'q'. Move all terms containing q to the left, all other terms to the right. Add '-15q' to each side of the equation. 7 + -7q + -15q = 25 + 15q + -15q Combine like terms: -7q + -15q = -22q 7 + -22q = 25 + 15q + -15q Combine like terms: 15q + -15q = 0 7 + -22q = 25 + 0 7 + -22q = 25 Add '-7' to each side of the equation. 7 + -7 + -22q = 25 + -7 Combine like terms: 7 + -7 = 0 0 + -22q = 25 + -7 -22q = 25 + -7 Combine like terms: 25 + -7 = 18 -22q = 18 Divide each side by '-22'. q = -0.8181818182 Simplifying q = -0.8181818182
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