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Simplifying 10(2n + 1) + -6 = 20(n + -1) + 12 Reorder the terms: 10(1 + 2n) + -6 = 20(n + -1) + 12 (1 * 10 + 2n * 10) + -6 = 20(n + -1) + 12 (10 + 20n) + -6 = 20(n + -1) + 12 Reorder the terms: 10 + -6 + 20n = 20(n + -1) + 12 Combine like terms: 10 + -6 = 4 4 + 20n = 20(n + -1) + 12 Reorder the terms: 4 + 20n = 20(-1 + n) + 12 4 + 20n = (-1 * 20 + n * 20) + 12 4 + 20n = (-20 + 20n) + 12 Reorder the terms: 4 + 20n = -20 + 12 + 20n Combine like terms: -20 + 12 = -8 4 + 20n = -8 + 20n Add '-20n' to each side of the equation. 4 + 20n + -20n = -8 + 20n + -20n Combine like terms: 20n + -20n = 0 4 + 0 = -8 + 20n + -20n 4 = -8 + 20n + -20n Combine like terms: 20n + -20n = 0 4 = -8 + 0 4 = -8 Solving 4 = -8 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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