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Simplifying 5m + -2(3m + -7) = 5(3m + -1) + 2 Reorder the terms: 5m + -2(-7 + 3m) = 5(3m + -1) + 2 5m + (-7 * -2 + 3m * -2) = 5(3m + -1) + 2 5m + (14 + -6m) = 5(3m + -1) + 2 Reorder the terms: 14 + 5m + -6m = 5(3m + -1) + 2 Combine like terms: 5m + -6m = -1m 14 + -1m = 5(3m + -1) + 2 Reorder the terms: 14 + -1m = 5(-1 + 3m) + 2 14 + -1m = (-1 * 5 + 3m * 5) + 2 14 + -1m = (-5 + 15m) + 2 Reorder the terms: 14 + -1m = -5 + 2 + 15m Combine like terms: -5 + 2 = -3 14 + -1m = -3 + 15m Solving 14 + -1m = -3 + 15m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '-15m' to each side of the equation. 14 + -1m + -15m = -3 + 15m + -15m Combine like terms: -1m + -15m = -16m 14 + -16m = -3 + 15m + -15m Combine like terms: 15m + -15m = 0 14 + -16m = -3 + 0 14 + -16m = -3 Add '-14' to each side of the equation. 14 + -14 + -16m = -3 + -14 Combine like terms: 14 + -14 = 0 0 + -16m = -3 + -14 -16m = -3 + -14 Combine like terms: -3 + -14 = -17 -16m = -17 Divide each side by '-16'. m = 1.0625 Simplifying m = 1.0625
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