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Simplifying 8(4q + -5) + -7q = 5(6q + -9) Reorder the terms: 8(-5 + 4q) + -7q = 5(6q + -9) (-5 * 8 + 4q * 8) + -7q = 5(6q + -9) (-40 + 32q) + -7q = 5(6q + -9) Combine like terms: 32q + -7q = 25q -40 + 25q = 5(6q + -9) Reorder the terms: -40 + 25q = 5(-9 + 6q) -40 + 25q = (-9 * 5 + 6q * 5) -40 + 25q = (-45 + 30q) Solving -40 + 25q = -45 + 30q Solving for variable 'q'. Move all terms containing q to the left, all other terms to the right. Add '-30q' to each side of the equation. -40 + 25q + -30q = -45 + 30q + -30q Combine like terms: 25q + -30q = -5q -40 + -5q = -45 + 30q + -30q Combine like terms: 30q + -30q = 0 -40 + -5q = -45 + 0 -40 + -5q = -45 Add '40' to each side of the equation. -40 + 40 + -5q = -45 + 40 Combine like terms: -40 + 40 = 0 0 + -5q = -45 + 40 -5q = -45 + 40 Combine like terms: -45 + 40 = -5 -5q = -5 Divide each side by '-5'. q = 1 Simplifying q = 1
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