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Simplifying -5(8 + -4m) = 8(10 + 2m) + -2m (8 * -5 + -4m * -5) = 8(10 + 2m) + -2m (-40 + 20m) = 8(10 + 2m) + -2m -40 + 20m = (10 * 8 + 2m * 8) + -2m -40 + 20m = (80 + 16m) + -2m Combine like terms: 16m + -2m = 14m -40 + 20m = 80 + 14m Solving -40 + 20m = 80 + 14m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '-14m' to each side of the equation. -40 + 20m + -14m = 80 + 14m + -14m Combine like terms: 20m + -14m = 6m -40 + 6m = 80 + 14m + -14m Combine like terms: 14m + -14m = 0 -40 + 6m = 80 + 0 -40 + 6m = 80 Add '40' to each side of the equation. -40 + 40 + 6m = 80 + 40 Combine like terms: -40 + 40 = 0 0 + 6m = 80 + 40 6m = 80 + 40 Combine like terms: 80 + 40 = 120 6m = 120 Divide each side by '6'. m = 20 Simplifying m = 20
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