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Simplifying 806 = 31(q + 15) Reorder the terms: 806 = 31(15 + q) 806 = (15 * 31 + q * 31) 806 = (465 + 31q) Solving 806 = 465 + 31q Solving for variable 'q'. Move all terms containing q to the left, all other terms to the right. Add '-31q' to each side of the equation. 806 + -31q = 465 + 31q + -31q Combine like terms: 31q + -31q = 0 806 + -31q = 465 + 0 806 + -31q = 465 Add '-806' to each side of the equation. 806 + -806 + -31q = 465 + -806 Combine like terms: 806 + -806 = 0 0 + -31q = 465 + -806 -31q = 465 + -806 Combine like terms: 465 + -806 = -341 -31q = -341 Divide each side by '-31'. q = 11 Simplifying q = 11
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