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Simplifying 7(1 + -1a) = 3(5 + 3q) (1 * 7 + -1a * 7) = 3(5 + 3q) (7 + -7a) = 3(5 + 3q) 7 + -7a = (5 * 3 + 3q * 3) 7 + -7a = (15 + 9q) Solving 7 + -7a = 15 + 9q Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-7' to each side of the equation. 7 + -7 + -7a = 15 + -7 + 9q Combine like terms: 7 + -7 = 0 0 + -7a = 15 + -7 + 9q -7a = 15 + -7 + 9q Combine like terms: 15 + -7 = 8 -7a = 8 + 9q Divide each side by '-7'. a = -1.142857143 + -1.285714286q Simplifying a = -1.142857143 + -1.285714286q
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