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Simplifying 8q + 76 = 32q + 116 Reorder the terms: 76 + 8q = 32q + 116 Reorder the terms: 76 + 8q = 116 + 32q Solving 76 + 8q = 116 + 32q Solving for variable 'q'. Move all terms containing q to the left, all other terms to the right. Add '-32q' to each side of the equation. 76 + 8q + -32q = 116 + 32q + -32q Combine like terms: 8q + -32q = -24q 76 + -24q = 116 + 32q + -32q Combine like terms: 32q + -32q = 0 76 + -24q = 116 + 0 76 + -24q = 116 Add '-76' to each side of the equation. 76 + -76 + -24q = 116 + -76 Combine like terms: 76 + -76 = 0 0 + -24q = 116 + -76 -24q = 116 + -76 Combine like terms: 116 + -76 = 40 -24q = 40 Divide each side by '-24'. q = -1.666666667 Simplifying q = -1.666666667
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