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Simplifying 8(m + -5) = -6(-4 + -12m) Reorder the terms: 8(-5 + m) = -6(-4 + -12m) (-5 * 8 + m * 8) = -6(-4 + -12m) (-40 + 8m) = -6(-4 + -12m) -40 + 8m = (-4 * -6 + -12m * -6) -40 + 8m = (24 + 72m) Solving -40 + 8m = 24 + 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 + 8m + -72m = 24 + 72m + -72m Combine like terms: 8m + -72m = -64m -40 + -64m = 24 + 72m + -72m Combine like terms: 72m + -72m = 0 -40 + -64m = 24 + 0 -40 + -64m = 24 Add '40' to each side of the equation. -40 + 40 + -64m = 24 + 40 Combine like terms: -40 + 40 = 0 0 + -64m = 24 + 40 -64m = 24 + 40 Combine like terms: 24 + 40 = 64 -64m = 64 Divide each side by '-64'. m = -1 Simplifying m = -1
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