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Simplifying 54q + -91 + -1(76 + 31q) = 0 54q + -91 + (76 * -1 + 31q * -1) = 0 54q + -91 + (-76 + -31q) = 0 Reorder the terms: -91 + -76 + 54q + -31q = 0 Combine like terms: -91 + -76 = -167 -167 + 54q + -31q = 0 Combine like terms: 54q + -31q = 23q -167 + 23q = 0 Solving -167 + 23q = 0 Solving for variable 'q'. Move all terms containing q to the left, all other terms to the right. Add '167' to each side of the equation. -167 + 167 + 23q = 0 + 167 Combine like terms: -167 + 167 = 0 0 + 23q = 0 + 167 23q = 0 + 167 Combine like terms: 0 + 167 = 167 23q = 167 Divide each side by '23'. q = 7.260869565 Simplifying q = 7.260869565
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