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Simplifying 5(n + 3) = 2n + -6 + -3(-1n + 5) Reorder the terms: 5(3 + n) = 2n + -6 + -3(-1n + 5) (3 * 5 + n * 5) = 2n + -6 + -3(-1n + 5) (15 + 5n) = 2n + -6 + -3(-1n + 5) Reorder the terms: 15 + 5n = 2n + -6 + -3(5 + -1n) 15 + 5n = 2n + -6 + (5 * -3 + -1n * -3) 15 + 5n = 2n + -6 + (-15 + 3n) Reorder the terms: 15 + 5n = -6 + -15 + 2n + 3n Combine like terms: -6 + -15 = -21 15 + 5n = -21 + 2n + 3n Combine like terms: 2n + 3n = 5n 15 + 5n = -21 + 5n Add '-5n' to each side of the equation. 15 + 5n + -5n = -21 + 5n + -5n Combine like terms: 5n + -5n = 0 15 + 0 = -21 + 5n + -5n 15 = -21 + 5n + -5n Combine like terms: 5n + -5n = 0 15 = -21 + 0 15 = -21 Solving 15 = -21 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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