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Simplifying 4(n + 6) + -1(n + -6) = 3(n + 6) Reorder the terms: 4(6 + n) + -1(n + -6) = 3(n + 6) (6 * 4 + n * 4) + -1(n + -6) = 3(n + 6) (24 + 4n) + -1(n + -6) = 3(n + 6) Reorder the terms: 24 + 4n + -1(-6 + n) = 3(n + 6) 24 + 4n + (-6 * -1 + n * -1) = 3(n + 6) 24 + 4n + (6 + -1n) = 3(n + 6) Reorder the terms: 24 + 6 + 4n + -1n = 3(n + 6) Combine like terms: 24 + 6 = 30 30 + 4n + -1n = 3(n + 6) Combine like terms: 4n + -1n = 3n 30 + 3n = 3(n + 6) Reorder the terms: 30 + 3n = 3(6 + n) 30 + 3n = (6 * 3 + n * 3) 30 + 3n = (18 + 3n) Add '-3n' to each side of the equation. 30 + 3n + -3n = 18 + 3n + -3n Combine like terms: 3n + -3n = 0 30 + 0 = 18 + 3n + -3n 30 = 18 + 3n + -3n Combine like terms: 3n + -3n = 0 30 = 18 + 0 30 = 18 Solving 30 = 18 Couldn't find a variable to solve for. This equation is invalid, the left and right sides are not equal, therefore there is no solution.
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