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Simplifying 3(n + 6) = 4(n + 6) + -1(n + 6) Reorder the terms: 3(6 + n) = 4(n + 6) + -1(n + 6) (6 * 3 + n * 3) = 4(n + 6) + -1(n + 6) (18 + 3n) = 4(n + 6) + -1(n + 6) Reorder the terms: 18 + 3n = 4(6 + n) + -1(n + 6) 18 + 3n = (6 * 4 + n * 4) + -1(n + 6) 18 + 3n = (24 + 4n) + -1(n + 6) Reorder the terms: 18 + 3n = 24 + 4n + -1(6 + n) 18 + 3n = 24 + 4n + (6 * -1 + n * -1) 18 + 3n = 24 + 4n + (-6 + -1n) Reorder the terms: 18 + 3n = 24 + -6 + 4n + -1n Combine like terms: 24 + -6 = 18 18 + 3n = 18 + 4n + -1n Combine like terms: 4n + -1n = 3n 18 + 3n = 18 + 3n Add '-18' to each side of the equation. 18 + -18 + 3n = 18 + -18 + 3n Combine like terms: 18 + -18 = 0 0 + 3n = 18 + -18 + 3n 3n = 18 + -18 + 3n Combine like terms: 18 + -18 = 0 3n = 0 + 3n 3n = 3n Add '-3n' to each side of the equation. 3n + -3n = 3n + -3n Combine like terms: 3n + -3n = 0 0 = 3n + -3n Combine like terms: 3n + -3n = 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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