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Simplifying -2 = 7(q + 2) + 32q Reorder the terms: -2 = 7(2 + q) + 32q -2 = (2 * 7 + q * 7) + 32q -2 = (14 + 7q) + 32q Combine like terms: 7q + 32q = 39q -2 = 14 + 39q Solving -2 = 14 + 39q Solving for variable 'q'. Move all terms containing q to the left, all other terms to the right. Add '-39q' to each side of the equation. -2 + -39q = 14 + 39q + -39q Combine like terms: 39q + -39q = 0 -2 + -39q = 14 + 0 -2 + -39q = 14 Add '2' to each side of the equation. -2 + 2 + -39q = 14 + 2 Combine like terms: -2 + 2 = 0 0 + -39q = 14 + 2 -39q = 14 + 2 Combine like terms: 14 + 2 = 16 -39q = 16 Divide each side by '-39'. q = -0.4102564103 Simplifying q = -0.4102564103
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