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Simplifying 2n + 19 = 2(n + 9) + 1 Reorder the terms: 19 + 2n = 2(n + 9) + 1 Reorder the terms: 19 + 2n = 2(9 + n) + 1 19 + 2n = (9 * 2 + n * 2) + 1 19 + 2n = (18 + 2n) + 1 Reorder the terms: 19 + 2n = 18 + 1 + 2n Combine like terms: 18 + 1 = 19 19 + 2n = 19 + 2n Add '-19' to each side of the equation. 19 + -19 + 2n = 19 + -19 + 2n Combine like terms: 19 + -19 = 0 0 + 2n = 19 + -19 + 2n 2n = 19 + -19 + 2n Combine like terms: 19 + -19 = 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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