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Simplifying 7(1 + -1q) = -3(5 + 2q) (1 * 7 + -1q * 7) = -3(5 + 2q) (7 + -7q) = -3(5 + 2q) 7 + -7q = (5 * -3 + 2q * -3) 7 + -7q = (-15 + -6q) Solving 7 + -7q = -15 + -6q Solving for variable 'q'. Move all terms containing q to the left, all other terms to the right. Add '6q' to each side of the equation. 7 + -7q + 6q = -15 + -6q + 6q Combine like terms: -7q + 6q = -1q 7 + -1q = -15 + -6q + 6q Combine like terms: -6q + 6q = 0 7 + -1q = -15 + 0 7 + -1q = -15 Add '-7' to each side of the equation. 7 + -7 + -1q = -15 + -7 Combine like terms: 7 + -7 = 0 0 + -1q = -15 + -7 -1q = -15 + -7 Combine like terms: -15 + -7 = -22 -1q = -22 Divide each side by '-1'. q = 22 Simplifying q = 22
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