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Simplifying 5(5n + -8) = 8(4n + -5) + -7n Reorder the terms: 5(-8 + 5n) = 8(4n + -5) + -7n (-8 * 5 + 5n * 5) = 8(4n + -5) + -7n (-40 + 25n) = 8(4n + -5) + -7n Reorder the terms: -40 + 25n = 8(-5 + 4n) + -7n -40 + 25n = (-5 * 8 + 4n * 8) + -7n -40 + 25n = (-40 + 32n) + -7n Combine like terms: 32n + -7n = 25n -40 + 25n = -40 + 25n Add '40' to each side of the equation. -40 + 40 + 25n = -40 + 40 + 25n Combine like terms: -40 + 40 = 0 0 + 25n = -40 + 40 + 25n 25n = -40 + 40 + 25n Combine like terms: -40 + 40 = 0 25n = 0 + 25n 25n = 25n Add '-25n' to each side of the equation. 25n + -25n = 25n + -25n Combine like terms: 25n + -25n = 0 0 = 25n + -25n Combine like terms: 25n + -25n = 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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