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Simplifying -6(5 + -2n) + -6(n + 4) = 6n + 12 (5 * -6 + -2n * -6) + -6(n + 4) = 6n + 12 (-30 + 12n) + -6(n + 4) = 6n + 12 Reorder the terms: -30 + 12n + -6(4 + n) = 6n + 12 -30 + 12n + (4 * -6 + n * -6) = 6n + 12 -30 + 12n + (-24 + -6n) = 6n + 12 Reorder the terms: -30 + -24 + 12n + -6n = 6n + 12 Combine like terms: -30 + -24 = -54 -54 + 12n + -6n = 6n + 12 Combine like terms: 12n + -6n = 6n -54 + 6n = 6n + 12 Reorder the terms: -54 + 6n = 12 + 6n Add '-6n' to each side of the equation. -54 + 6n + -6n = 12 + 6n + -6n Combine like terms: 6n + -6n = 0 -54 + 0 = 12 + 6n + -6n -54 = 12 + 6n + -6n Combine like terms: 6n + -6n = 0 -54 = 12 + 0 -54 = 12 Solving -54 = 12 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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