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Simplifying 2(n + 12) = 2(n + 3) + 6 Reorder the terms: 2(12 + n) = 2(n + 3) + 6 (12 * 2 + n * 2) = 2(n + 3) + 6 (24 + 2n) = 2(n + 3) + 6 Reorder the terms: 24 + 2n = 2(3 + n) + 6 24 + 2n = (3 * 2 + n * 2) + 6 24 + 2n = (6 + 2n) + 6 Reorder the terms: 24 + 2n = 6 + 6 + 2n Combine like terms: 6 + 6 = 12 24 + 2n = 12 + 2n Add '-2n' to each side of the equation. 24 + 2n + -2n = 12 + 2n + -2n Combine like terms: 2n + -2n = 0 24 + 0 = 12 + 2n + -2n 24 = 12 + 2n + -2n Combine like terms: 2n + -2n = 0 24 = 12 + 0 24 = 12 Solving 24 = 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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