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Simplifying 8(4q + -5) + -7 = 5(5q + -8) Reorder the terms: 8(-5 + 4q) + -7 = 5(5q + -8) (-5 * 8 + 4q * 8) + -7 = 5(5q + -8) (-40 + 32q) + -7 = 5(5q + -8) Reorder the terms: -40 + -7 + 32q = 5(5q + -8) Combine like terms: -40 + -7 = -47 -47 + 32q = 5(5q + -8) Reorder the terms: -47 + 32q = 5(-8 + 5q) -47 + 32q = (-8 * 5 + 5q * 5) -47 + 32q = (-40 + 25q) Solving -47 + 32q = -40 + 25q Solving for variable 'q'. Move all terms containing q to the left, all other terms to the right. Add '-25q' to each side of the equation. -47 + 32q + -25q = -40 + 25q + -25q Combine like terms: 32q + -25q = 7q -47 + 7q = -40 + 25q + -25q Combine like terms: 25q + -25q = 0 -47 + 7q = -40 + 0 -47 + 7q = -40 Add '47' to each side of the equation. -47 + 47 + 7q = -40 + 47 Combine like terms: -47 + 47 = 0 0 + 7q = -40 + 47 7q = -40 + 47 Combine like terms: -40 + 47 = 7 7q = 7 Divide each side by '7'. q = 1 Simplifying q = 1
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