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Simplifying 5n + 7 = 7(n + 1) + -2n Reorder the terms: 7 + 5n = 7(n + 1) + -2n Reorder the terms: 7 + 5n = 7(1 + n) + -2n 7 + 5n = (1 * 7 + n * 7) + -2n 7 + 5n = (7 + 7n) + -2n Combine like terms: 7n + -2n = 5n 7 + 5n = 7 + 5n Add '-7' to each side of the equation. 7 + -7 + 5n = 7 + -7 + 5n Combine like terms: 7 + -7 = 0 0 + 5n = 7 + -7 + 5n 5n = 7 + -7 + 5n Combine like terms: 7 + -7 = 0 5n = 0 + 5n 5n = 5n Add '-5n' to each side of the equation. 5n + -5n = 5n + -5n Combine like terms: 5n + -5n = 0 0 = 5n + -5n Combine like terms: 5n + -5n = 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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