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Simplifying 2 + -1(n + 8) + -2n = 3(-1n + 1) + 1 Reorder the terms: 2 + -1(8 + n) + -2n = 3(-1n + 1) + 1 2 + (8 * -1 + n * -1) + -2n = 3(-1n + 1) + 1 2 + (-8 + -1n) + -2n = 3(-1n + 1) + 1 Combine like terms: 2 + -8 = -6 -6 + -1n + -2n = 3(-1n + 1) + 1 Combine like terms: -1n + -2n = -3n -6 + -3n = 3(-1n + 1) + 1 Reorder the terms: -6 + -3n = 3(1 + -1n) + 1 -6 + -3n = (1 * 3 + -1n * 3) + 1 -6 + -3n = (3 + -3n) + 1 Reorder the terms: -6 + -3n = 3 + 1 + -3n Combine like terms: 3 + 1 = 4 -6 + -3n = 4 + -3n Add '3n' to each side of the equation. -6 + -3n + 3n = 4 + -3n + 3n Combine like terms: -3n + 3n = 0 -6 + 0 = 4 + -3n + 3n -6 = 4 + -3n + 3n Combine like terms: -3n + 3n = 0 -6 = 4 + 0 -6 = 4 Solving -6 = 4 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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