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Simplifying 3(2m + 1) + -1 = 6(m + -2) + 15 Reorder the terms: 3(1 + 2m) + -1 = 6(m + -2) + 15 (1 * 3 + 2m * 3) + -1 = 6(m + -2) + 15 (3 + 6m) + -1 = 6(m + -2) + 15 Reorder the terms: 3 + -1 + 6m = 6(m + -2) + 15 Combine like terms: 3 + -1 = 2 2 + 6m = 6(m + -2) + 15 Reorder the terms: 2 + 6m = 6(-2 + m) + 15 2 + 6m = (-2 * 6 + m * 6) + 15 2 + 6m = (-12 + 6m) + 15 Reorder the terms: 2 + 6m = -12 + 15 + 6m Combine like terms: -12 + 15 = 3 2 + 6m = 3 + 6m Add '-6m' to each side of the equation. 2 + 6m + -6m = 3 + 6m + -6m Combine like terms: 6m + -6m = 0 2 + 0 = 3 + 6m + -6m 2 = 3 + 6m + -6m Combine like terms: 6m + -6m = 0 2 = 3 + 0 2 = 3 Solving 2 = 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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