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Simplifying q + 61 = 8q + -79 Reorder the terms: 61 + q = 8q + -79 Reorder the terms: 61 + q = -79 + 8q Solving 61 + q = -79 + 8q Solving for variable 'q'. Move all terms containing q to the left, all other terms to the right. Add '-8q' to each side of the equation. 61 + q + -8q = -79 + 8q + -8q Combine like terms: q + -8q = -7q 61 + -7q = -79 + 8q + -8q Combine like terms: 8q + -8q = 0 61 + -7q = -79 + 0 61 + -7q = -79 Add '-61' to each side of the equation. 61 + -61 + -7q = -79 + -61 Combine like terms: 61 + -61 = 0 0 + -7q = -79 + -61 -7q = -79 + -61 Combine like terms: -79 + -61 = -140 -7q = -140 Divide each side by '-7'. q = 20 Simplifying q = 20
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