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Simplifying -3n + 2 + 8n + 1 = 5(-7 + 5n) + -4(5n + -3) Reorder the terms: 2 + 1 + -3n + 8n = 5(-7 + 5n) + -4(5n + -3) Combine like terms: 2 + 1 = 3 3 + -3n + 8n = 5(-7 + 5n) + -4(5n + -3) Combine like terms: -3n + 8n = 5n 3 + 5n = 5(-7 + 5n) + -4(5n + -3) 3 + 5n = (-7 * 5 + 5n * 5) + -4(5n + -3) 3 + 5n = (-35 + 25n) + -4(5n + -3) Reorder the terms: 3 + 5n = -35 + 25n + -4(-3 + 5n) 3 + 5n = -35 + 25n + (-3 * -4 + 5n * -4) 3 + 5n = -35 + 25n + (12 + -20n) Reorder the terms: 3 + 5n = -35 + 12 + 25n + -20n Combine like terms: -35 + 12 = -23 3 + 5n = -23 + 25n + -20n Combine like terms: 25n + -20n = 5n 3 + 5n = -23 + 5n Add '-5n' to each side of the equation. 3 + 5n + -5n = -23 + 5n + -5n Combine like terms: 5n + -5n = 0 3 + 0 = -23 + 5n + -5n 3 = -23 + 5n + -5n Combine like terms: 5n + -5n = 0 3 = -23 + 0 3 = -23 Solving 3 = -23 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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