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Simplifying -2(3m + -4) = 5(2m + -8) Reorder the terms: -2(-4 + 3m) = 5(2m + -8) (-4 * -2 + 3m * -2) = 5(2m + -8) (8 + -6m) = 5(2m + -8) Reorder the terms: 8 + -6m = 5(-8 + 2m) 8 + -6m = (-8 * 5 + 2m * 5) 8 + -6m = (-40 + 10m) Solving 8 + -6m = -40 + 10m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '-10m' to each side of the equation. 8 + -6m + -10m = -40 + 10m + -10m Combine like terms: -6m + -10m = -16m 8 + -16m = -40 + 10m + -10m Combine like terms: 10m + -10m = 0 8 + -16m = -40 + 0 8 + -16m = -40 Add '-8' to each side of the equation. 8 + -8 + -16m = -40 + -8 Combine like terms: 8 + -8 = 0 0 + -16m = -40 + -8 -16m = -40 + -8 Combine like terms: -40 + -8 = -48 -16m = -48 Divide each side by '-16'. m = 3 Simplifying m = 3
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