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Simplifying 4n + 9 = 2(2n + 4) + 1 Reorder the terms: 9 + 4n = 2(2n + 4) + 1 Reorder the terms: 9 + 4n = 2(4 + 2n) + 1 9 + 4n = (4 * 2 + 2n * 2) + 1 9 + 4n = (8 + 4n) + 1 Reorder the terms: 9 + 4n = 8 + 1 + 4n Combine like terms: 8 + 1 = 9 9 + 4n = 9 + 4n Add '-9' to each side of the equation. 9 + -9 + 4n = 9 + -9 + 4n Combine like terms: 9 + -9 = 0 0 + 4n = 9 + -9 + 4n 4n = 9 + -9 + 4n Combine like terms: 9 + -9 = 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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