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Simplifying -77 = -7(q + 47) Reorder the terms: -77 = -7(47 + q) -77 = (47 * -7 + q * -7) -77 = (-329 + -7q) Solving -77 = -329 + -7q Solving for variable 'q'. Move all terms containing q to the left, all other terms to the right. Add '7q' to each side of the equation. -77 + 7q = -329 + -7q + 7q Combine like terms: -7q + 7q = 0 -77 + 7q = -329 + 0 -77 + 7q = -329 Add '77' to each side of the equation. -77 + 77 + 7q = -329 + 77 Combine like terms: -77 + 77 = 0 0 + 7q = -329 + 77 7q = -329 + 77 Combine like terms: -329 + 77 = -252 7q = -252 Divide each side by '7'. q = -36 Simplifying q = -36
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