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Simplifying 4(n + -6) + -1(3 + -1n) = 5n + -27 Reorder the terms: 4(-6 + n) + -1(3 + -1n) = 5n + -27 (-6 * 4 + n * 4) + -1(3 + -1n) = 5n + -27 (-24 + 4n) + -1(3 + -1n) = 5n + -27 -24 + 4n + (3 * -1 + -1n * -1) = 5n + -27 -24 + 4n + (-3 + 1n) = 5n + -27 Reorder the terms: -24 + -3 + 4n + 1n = 5n + -27 Combine like terms: -24 + -3 = -27 -27 + 4n + 1n = 5n + -27 Combine like terms: 4n + 1n = 5n -27 + 5n = 5n + -27 Reorder the terms: -27 + 5n = -27 + 5n Add '27' to each side of the equation. -27 + 27 + 5n = -27 + 27 + 5n Combine like terms: -27 + 27 = 0 0 + 5n = -27 + 27 + 5n 5n = -27 + 27 + 5n Combine like terms: -27 + 27 = 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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