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Simplifying 10(2m + -4) = 6(10 + -5m) Reorder the terms: 10(-4 + 2m) = 6(10 + -5m) (-4 * 10 + 2m * 10) = 6(10 + -5m) (-40 + 20m) = 6(10 + -5m) -40 + 20m = (10 * 6 + -5m * 6) -40 + 20m = (60 + -30m) Solving -40 + 20m = 60 + -30m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '30m' to each side of the equation. -40 + 20m + 30m = 60 + -30m + 30m Combine like terms: 20m + 30m = 50m -40 + 50m = 60 + -30m + 30m Combine like terms: -30m + 30m = 0 -40 + 50m = 60 + 0 -40 + 50m = 60 Add '40' to each side of the equation. -40 + 40 + 50m = 60 + 40 Combine like terms: -40 + 40 = 0 0 + 50m = 60 + 40 50m = 60 + 40 Combine like terms: 60 + 40 = 100 50m = 100 Divide each side by '50'. m = 2 Simplifying m = 2
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