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Simplifying 4(3 + -1m) = 6(2m + -6) (3 * 4 + -1m * 4) = 6(2m + -6) (12 + -4m) = 6(2m + -6) Reorder the terms: 12 + -4m = 6(-6 + 2m) 12 + -4m = (-6 * 6 + 2m * 6) 12 + -4m = (-36 + 12m) Solving 12 + -4m = -36 + 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. 12 + -4m + -12m = -36 + 12m + -12m Combine like terms: -4m + -12m = -16m 12 + -16m = -36 + 12m + -12m Combine like terms: 12m + -12m = 0 12 + -16m = -36 + 0 12 + -16m = -36 Add '-12' to each side of the equation. 12 + -12 + -16m = -36 + -12 Combine like terms: 12 + -12 = 0 0 + -16m = -36 + -12 -16m = -36 + -12 Combine like terms: -36 + -12 = -48 -16m = -48 Divide each side by '-16'. m = 3 Simplifying m = 3
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