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Simplifying 8(4q + -5) + -7q = 5(5q + -5) Reorder the terms: 8(-5 + 4q) + -7q = 5(5q + -5) (-5 * 8 + 4q * 8) + -7q = 5(5q + -5) (-40 + 32q) + -7q = 5(5q + -5) Combine like terms: 32q + -7q = 25q -40 + 25q = 5(5q + -5) Reorder the terms: -40 + 25q = 5(-5 + 5q) -40 + 25q = (-5 * 5 + 5q * 5) -40 + 25q = (-25 + 25q) Add '-25q' to each side of the equation. -40 + 25q + -25q = -25 + 25q + -25q Combine like terms: 25q + -25q = 0 -40 + 0 = -25 + 25q + -25q -40 = -25 + 25q + -25q Combine like terms: 25q + -25q = 0 -40 = -25 + 0 -40 = -25 Solving -40 = -25 Couldn't find a variable to solve for. This equation is invalid, the left and right sides are not equal, therefore there is no solution.
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