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Simplifying 3(n + 8) = 5n + -2(n + -7) Reorder the terms: 3(8 + n) = 5n + -2(n + -7) (8 * 3 + n * 3) = 5n + -2(n + -7) (24 + 3n) = 5n + -2(n + -7) Reorder the terms: 24 + 3n = 5n + -2(-7 + n) 24 + 3n = 5n + (-7 * -2 + n * -2) 24 + 3n = 5n + (14 + -2n) Reorder the terms: 24 + 3n = 14 + 5n + -2n Combine like terms: 5n + -2n = 3n 24 + 3n = 14 + 3n Add '-3n' to each side of the equation. 24 + 3n + -3n = 14 + 3n + -3n Combine like terms: 3n + -3n = 0 24 + 0 = 14 + 3n + -3n 24 = 14 + 3n + -3n Combine like terms: 3n + -3n = 0 24 = 14 + 0 24 = 14 Solving 24 = 14 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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