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Simplifying 5(10n + -8) + 5(-11n + 10) = 2 + -5n Reorder the terms: 5(-8 + 10n) + 5(-11n + 10) = 2 + -5n (-8 * 5 + 10n * 5) + 5(-11n + 10) = 2 + -5n (-40 + 50n) + 5(-11n + 10) = 2 + -5n Reorder the terms: -40 + 50n + 5(10 + -11n) = 2 + -5n -40 + 50n + (10 * 5 + -11n * 5) = 2 + -5n -40 + 50n + (50 + -55n) = 2 + -5n Reorder the terms: -40 + 50 + 50n + -55n = 2 + -5n Combine like terms: -40 + 50 = 10 10 + 50n + -55n = 2 + -5n Combine like terms: 50n + -55n = -5n 10 + -5n = 2 + -5n Add '5n' to each side of the equation. 10 + -5n + 5n = 2 + -5n + 5n Combine like terms: -5n + 5n = 0 10 + 0 = 2 + -5n + 5n 10 = 2 + -5n + 5n Combine like terms: -5n + 5n = 0 10 = 2 + 0 10 = 2 Solving 10 = 2 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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