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Simplifying 7(1 + -1q) = -3(5 + 3w) (1 * 7 + -1q * 7) = -3(5 + 3w) (7 + -7q) = -3(5 + 3w) 7 + -7q = (5 * -3 + 3w * -3) 7 + -7q = (-15 + -9w) Solving 7 + -7q = -15 + -9w Solving for variable 'q'. Move all terms containing q to the left, all other terms to the right. Add '-7' to each side of the equation. 7 + -7 + -7q = -15 + -7 + -9w Combine like terms: 7 + -7 = 0 0 + -7q = -15 + -7 + -9w -7q = -15 + -7 + -9w Combine like terms: -15 + -7 = -22 -7q = -22 + -9w Divide each side by '-7'. q = 3.142857143 + 1.285714286w Simplifying q = 3.142857143 + 1.285714286w
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