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Simplifying 36q + -31 = 52q + -79 Reorder the terms: -31 + 36q = 52q + -79 Reorder the terms: -31 + 36q = -79 + 52q Solving -31 + 36q = -79 + 52q Solving for variable 'q'. Move all terms containing q to the left, all other terms to the right. Add '-52q' to each side of the equation. -31 + 36q + -52q = -79 + 52q + -52q Combine like terms: 36q + -52q = -16q -31 + -16q = -79 + 52q + -52q Combine like terms: 52q + -52q = 0 -31 + -16q = -79 + 0 -31 + -16q = -79 Add '31' to each side of the equation. -31 + 31 + -16q = -79 + 31 Combine like terms: -31 + 31 = 0 0 + -16q = -79 + 31 -16q = -79 + 31 Combine like terms: -79 + 31 = -48 -16q = -48 Divide each side by '-16'. q = 3 Simplifying q = 3
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