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Simplifying q + 7 = 5q + -1 Reorder the terms: 7 + q = 5q + -1 Reorder the terms: 7 + q = -1 + 5q Solving 7 + q = -1 + 5q Solving for variable 'q'. Move all terms containing q to the left, all other terms to the right. Add '-5q' to each side of the equation. 7 + q + -5q = -1 + 5q + -5q Combine like terms: q + -5q = -4q 7 + -4q = -1 + 5q + -5q Combine like terms: 5q + -5q = 0 7 + -4q = -1 + 0 7 + -4q = -1 Add '-7' to each side of the equation. 7 + -7 + -4q = -1 + -7 Combine like terms: 7 + -7 = 0 0 + -4q = -1 + -7 -4q = -1 + -7 Combine like terms: -1 + -7 = -8 -4q = -8 Divide each side by '-4'. q = 2 Simplifying q = 2
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