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Simplifying 7(1 + -1q) = -3(5 + q) (1 * 7 + -1q * 7) = -3(5 + q) (7 + -7q) = -3(5 + q) 7 + -7q = (5 * -3 + q * -3) 7 + -7q = (-15 + -3q) Solving 7 + -7q = -15 + -3q Solving for variable 'q'. Move all terms containing q to the left, all other terms to the right. Add '3q' to each side of the equation. 7 + -7q + 3q = -15 + -3q + 3q Combine like terms: -7q + 3q = -4q 7 + -4q = -15 + -3q + 3q Combine like terms: -3q + 3q = 0 7 + -4q = -15 + 0 7 + -4q = -15 Add '-7' to each side of the equation. 7 + -7 + -4q = -15 + -7 Combine like terms: 7 + -7 = 0 0 + -4q = -15 + -7 -4q = -15 + -7 Combine like terms: -15 + -7 = -22 -4q = -22 Divide each side by '-4'. q = 5.5 Simplifying q = 5.5
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