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Simplifying -31 + 5m = 6(-4 + 2m) -31 + 5m = (-4 * 6 + 2m * 6) -31 + 5m = (-24 + 12m) Solving -31 + 5m = -24 + 12m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '-12m' to each side of the equation. -31 + 5m + -12m = -24 + 12m + -12m Combine like terms: 5m + -12m = -7m -31 + -7m = -24 + 12m + -12m Combine like terms: 12m + -12m = 0 -31 + -7m = -24 + 0 -31 + -7m = -24 Add '31' to each side of the equation. -31 + 31 + -7m = -24 + 31 Combine like terms: -31 + 31 = 0 0 + -7m = -24 + 31 -7m = -24 + 31 Combine like terms: -24 + 31 = 7 -7m = 7 Divide each side by '-7'. m = -1 Simplifying m = -1
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