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Simplifying 7(1 + -1q) = (-3)(5 + 3q) (1 * 7 + -1q * 7) = (-3)(5 + 3q) (7 + -7q) = (-3)(5 + 3q) 7 + -7q = (5 * -3 + 3q * -3) 7 + -7q = (-15 + -9q) Solving 7 + -7q = -15 + -9q Solving for variable 'q'. Move all terms containing q to the left, all other terms to the right. Add '9q' to each side of the equation. 7 + -7q + 9q = -15 + -9q + 9q Combine like terms: -7q + 9q = 2q 7 + 2q = -15 + -9q + 9q Combine like terms: -9q + 9q = 0 7 + 2q = -15 + 0 7 + 2q = -15 Add '-7' to each side of the equation. 7 + -7 + 2q = -15 + -7 Combine like terms: 7 + -7 = 0 0 + 2q = -15 + -7 2q = -15 + -7 Combine like terms: -15 + -7 = -22 2q = -22 Divide each side by '2'. q = -11 Simplifying q = -11
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