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Simplifying 3(n + 1) + -2 = 4(n + -4) + -1(n + -11) Reorder the terms: 3(1 + n) + -2 = 4(n + -4) + -1(n + -11) (1 * 3 + n * 3) + -2 = 4(n + -4) + -1(n + -11) (3 + 3n) + -2 = 4(n + -4) + -1(n + -11) Reorder the terms: 3 + -2 + 3n = 4(n + -4) + -1(n + -11) Combine like terms: 3 + -2 = 1 1 + 3n = 4(n + -4) + -1(n + -11) Reorder the terms: 1 + 3n = 4(-4 + n) + -1(n + -11) 1 + 3n = (-4 * 4 + n * 4) + -1(n + -11) 1 + 3n = (-16 + 4n) + -1(n + -11) Reorder the terms: 1 + 3n = -16 + 4n + -1(-11 + n) 1 + 3n = -16 + 4n + (-11 * -1 + n * -1) 1 + 3n = -16 + 4n + (11 + -1n) Reorder the terms: 1 + 3n = -16 + 11 + 4n + -1n Combine like terms: -16 + 11 = -5 1 + 3n = -5 + 4n + -1n Combine like terms: 4n + -1n = 3n 1 + 3n = -5 + 3n Add '-3n' to each side of the equation. 1 + 3n + -3n = -5 + 3n + -3n Combine like terms: 3n + -3n = 0 1 + 0 = -5 + 3n + -3n 1 = -5 + 3n + -3n Combine like terms: 3n + -3n = 0 1 = -5 + 0 1 = -5 Solving 1 = -5 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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