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Simplifying 3(n + 1) + -1(-1n + -2) = 2(2n + 1) + 3 Reorder the terms: 3(1 + n) + -1(-1n + -2) = 2(2n + 1) + 3 (1 * 3 + n * 3) + -1(-1n + -2) = 2(2n + 1) + 3 (3 + 3n) + -1(-1n + -2) = 2(2n + 1) + 3 Reorder the terms: 3 + 3n + -1(-2 + -1n) = 2(2n + 1) + 3 3 + 3n + (-2 * -1 + -1n * -1) = 2(2n + 1) + 3 3 + 3n + (2 + 1n) = 2(2n + 1) + 3 Reorder the terms: 3 + 2 + 3n + 1n = 2(2n + 1) + 3 Combine like terms: 3 + 2 = 5 5 + 3n + 1n = 2(2n + 1) + 3 Combine like terms: 3n + 1n = 4n 5 + 4n = 2(2n + 1) + 3 Reorder the terms: 5 + 4n = 2(1 + 2n) + 3 5 + 4n = (1 * 2 + 2n * 2) + 3 5 + 4n = (2 + 4n) + 3 Reorder the terms: 5 + 4n = 2 + 3 + 4n Combine like terms: 2 + 3 = 5 5 + 4n = 5 + 4n Add '-5' to each side of the equation. 5 + -5 + 4n = 5 + -5 + 4n Combine like terms: 5 + -5 = 0 0 + 4n = 5 + -5 + 4n 4n = 5 + -5 + 4n Combine like terms: 5 + -5 = 0 4n = 0 + 4n 4n = 4n Add '-4n' to each side of the equation. 4n + -4n = 4n + -4n Combine like terms: 4n + -4n = 0 0 = 4n + -4n Combine like terms: 4n + -4n = 0 0 = 0 Solving 0 = 0 Couldn't find a variable to solve for. This equation is an identity, all real numbers are solutions.
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