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Simplifying 2(3n + -1) + 3(2n + 1) = 12n + -3 Reorder the terms: 2(-1 + 3n) + 3(2n + 1) = 12n + -3 (-1 * 2 + 3n * 2) + 3(2n + 1) = 12n + -3 (-2 + 6n) + 3(2n + 1) = 12n + -3 Reorder the terms: -2 + 6n + 3(1 + 2n) = 12n + -3 -2 + 6n + (1 * 3 + 2n * 3) = 12n + -3 -2 + 6n + (3 + 6n) = 12n + -3 Reorder the terms: -2 + 3 + 6n + 6n = 12n + -3 Combine like terms: -2 + 3 = 1 1 + 6n + 6n = 12n + -3 Combine like terms: 6n + 6n = 12n 1 + 12n = 12n + -3 Reorder the terms: 1 + 12n = -3 + 12n Add '-12n' to each side of the equation. 1 + 12n + -12n = -3 + 12n + -12n Combine like terms: 12n + -12n = 0 1 + 0 = -3 + 12n + -12n 1 = -3 + 12n + -12n Combine like terms: 12n + -12n = 0 1 = -3 + 0 1 = -3 Solving 1 = -3 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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