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Simplifying -5(8n + -2) + 7(6n + -8) = 1 + 2n Reorder the terms: -5(-2 + 8n) + 7(6n + -8) = 1 + 2n (-2 * -5 + 8n * -5) + 7(6n + -8) = 1 + 2n (10 + -40n) + 7(6n + -8) = 1 + 2n Reorder the terms: 10 + -40n + 7(-8 + 6n) = 1 + 2n 10 + -40n + (-8 * 7 + 6n * 7) = 1 + 2n 10 + -40n + (-56 + 42n) = 1 + 2n Reorder the terms: 10 + -56 + -40n + 42n = 1 + 2n Combine like terms: 10 + -56 = -46 -46 + -40n + 42n = 1 + 2n Combine like terms: -40n + 42n = 2n -46 + 2n = 1 + 2n Add '-2n' to each side of the equation. -46 + 2n + -2n = 1 + 2n + -2n Combine like terms: 2n + -2n = 0 -46 + 0 = 1 + 2n + -2n -46 = 1 + 2n + -2n Combine like terms: 2n + -2n = 0 -46 = 1 + 0 -46 = 1 Solving -46 = 1 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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