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Simplifying -1(n + -5) + 3(n + 2) = 2(n + 3) + 5 Reorder the terms: -1(-5 + n) + 3(n + 2) = 2(n + 3) + 5 (-5 * -1 + n * -1) + 3(n + 2) = 2(n + 3) + 5 (5 + -1n) + 3(n + 2) = 2(n + 3) + 5 Reorder the terms: 5 + -1n + 3(2 + n) = 2(n + 3) + 5 5 + -1n + (2 * 3 + n * 3) = 2(n + 3) + 5 5 + -1n + (6 + 3n) = 2(n + 3) + 5 Reorder the terms: 5 + 6 + -1n + 3n = 2(n + 3) + 5 Combine like terms: 5 + 6 = 11 11 + -1n + 3n = 2(n + 3) + 5 Combine like terms: -1n + 3n = 2n 11 + 2n = 2(n + 3) + 5 Reorder the terms: 11 + 2n = 2(3 + n) + 5 11 + 2n = (3 * 2 + n * 2) + 5 11 + 2n = (6 + 2n) + 5 Reorder the terms: 11 + 2n = 6 + 5 + 2n Combine like terms: 6 + 5 = 11 11 + 2n = 11 + 2n Add '-11' to each side of the equation. 11 + -11 + 2n = 11 + -11 + 2n Combine like terms: 11 + -11 = 0 0 + 2n = 11 + -11 + 2n 2n = 11 + -11 + 2n Combine like terms: 11 + -11 = 0 2n = 0 + 2n 2n = 2n Add '-2n' to each side of the equation. 2n + -2n = 2n + -2n Combine like terms: 2n + -2n = 0 0 = 2n + -2n Combine like terms: 2n + -2n = 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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