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Simplifying 8(4q + -5) + -7q = 5(5q + -8) Reorder the terms: 8(-5 + 4q) + -7q = 5(5q + -8) (-5 * 8 + 4q * 8) + -7q = 5(5q + -8) (-40 + 32q) + -7q = 5(5q + -8) Combine like terms: 32q + -7q = 25q -40 + 25q = 5(5q + -8) Reorder the terms: -40 + 25q = 5(-8 + 5q) -40 + 25q = (-8 * 5 + 5q * 5) -40 + 25q = (-40 + 25q) Add '40' to each side of the equation. -40 + 40 + 25q = -40 + 40 + 25q Combine like terms: -40 + 40 = 0 0 + 25q = -40 + 40 + 25q 25q = -40 + 40 + 25q Combine like terms: -40 + 40 = 0 25q = 0 + 25q 25q = 25q Add '-25q' to each side of the equation. 25q + -25q = 25q + -25q Combine like terms: 25q + -25q = 0 0 = 25q + -25q Combine like terms: 25q + -25q = 0 0 = 0 Solving 0 = 0 Couldn't find a variable to solve for. This equation is an identity, all real numbers are solutions.
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