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Simplifying 2m + 4(3 + -2m) + 5(3m + 1) = 3(3m + -7) + -5 2m + (3 * 4 + -2m * 4) + 5(3m + 1) = 3(3m + -7) + -5 2m + (12 + -8m) + 5(3m + 1) = 3(3m + -7) + -5 Reorder the terms: 2m + 12 + -8m + 5(1 + 3m) = 3(3m + -7) + -5 2m + 12 + -8m + (1 * 5 + 3m * 5) = 3(3m + -7) + -5 2m + 12 + -8m + (5 + 15m) = 3(3m + -7) + -5 Reorder the terms: 12 + 5 + 2m + -8m + 15m = 3(3m + -7) + -5 Combine like terms: 12 + 5 = 17 17 + 2m + -8m + 15m = 3(3m + -7) + -5 Combine like terms: 2m + -8m = -6m 17 + -6m + 15m = 3(3m + -7) + -5 Combine like terms: -6m + 15m = 9m 17 + 9m = 3(3m + -7) + -5 Reorder the terms: 17 + 9m = 3(-7 + 3m) + -5 17 + 9m = (-7 * 3 + 3m * 3) + -5 17 + 9m = (-21 + 9m) + -5 Reorder the terms: 17 + 9m = -21 + -5 + 9m Combine like terms: -21 + -5 = -26 17 + 9m = -26 + 9m Add '-9m' to each side of the equation. 17 + 9m + -9m = -26 + 9m + -9m Combine like terms: 9m + -9m = 0 17 + 0 = -26 + 9m + -9m 17 = -26 + 9m + -9m Combine like terms: 9m + -9m = 0 17 = -26 + 0 17 = -26 Solving 17 = -26 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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