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Simplifying -35(14 + -2m) = -5(8 + m) (14 * -35 + -2m * -35) = -5(8 + m) (-490 + 70m) = -5(8 + m) -490 + 70m = (8 * -5 + m * -5) -490 + 70m = (-40 + -5m) Solving -490 + 70m = -40 + -5m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '5m' to each side of the equation. -490 + 70m + 5m = -40 + -5m + 5m Combine like terms: 70m + 5m = 75m -490 + 75m = -40 + -5m + 5m Combine like terms: -5m + 5m = 0 -490 + 75m = -40 + 0 -490 + 75m = -40 Add '490' to each side of the equation. -490 + 490 + 75m = -40 + 490 Combine like terms: -490 + 490 = 0 0 + 75m = -40 + 490 75m = -40 + 490 Combine like terms: -40 + 490 = 450 75m = 450 Divide each side by '75'. m = 6 Simplifying m = 6
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