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Simplifying -8m + 7m = 3(5m + 8) + 2(-2 + 7m) Combine like terms: -8m + 7m = -1m -1m = 3(5m + 8) + 2(-2 + 7m) Reorder the terms: -1m = 3(8 + 5m) + 2(-2 + 7m) -1m = (8 * 3 + 5m * 3) + 2(-2 + 7m) -1m = (24 + 15m) + 2(-2 + 7m) -1m = 24 + 15m + (-2 * 2 + 7m * 2) -1m = 24 + 15m + (-4 + 14m) Reorder the terms: -1m = 24 + -4 + 15m + 14m Combine like terms: 24 + -4 = 20 -1m = 20 + 15m + 14m Combine like terms: 15m + 14m = 29m -1m = 20 + 29m Solving -1m = 20 + 29m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '-29m' to each side of the equation. -1m + -29m = 20 + 29m + -29m Combine like terms: -1m + -29m = -30m -30m = 20 + 29m + -29m Combine like terms: 29m + -29m = 0 -30m = 20 + 0 -30m = 20 Divide each side by '-30'. m = -0.6666666667 Simplifying m = -0.6666666667
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