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Simplifying -5(8 + -12m) = -4(-14 + -18m) (8 * -5 + -12m * -5) = -4(-14 + -18m) (-40 + 60m) = -4(-14 + -18m) -40 + 60m = (-14 * -4 + -18m * -4) -40 + 60m = (56 + 72m) Solving -40 + 60m = 56 + 72m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '-72m' to each side of the equation. -40 + 60m + -72m = 56 + 72m + -72m Combine like terms: 60m + -72m = -12m -40 + -12m = 56 + 72m + -72m Combine like terms: 72m + -72m = 0 -40 + -12m = 56 + 0 -40 + -12m = 56 Add '40' to each side of the equation. -40 + 40 + -12m = 56 + 40 Combine like terms: -40 + 40 = 0 0 + -12m = 56 + 40 -12m = 56 + 40 Combine like terms: 56 + 40 = 96 -12m = 96 Divide each side by '-12'. m = -8 Simplifying m = -8
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