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Simplifying -8(m + 5) = -4(7 + 5m) Reorder the terms: -8(5 + m) = -4(7 + 5m) (5 * -8 + m * -8) = -4(7 + 5m) (-40 + -8m) = -4(7 + 5m) -40 + -8m = (7 * -4 + 5m * -4) -40 + -8m = (-28 + -20m) Solving -40 + -8m = -28 + -20m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '20m' to each side of the equation. -40 + -8m + 20m = -28 + -20m + 20m Combine like terms: -8m + 20m = 12m -40 + 12m = -28 + -20m + 20m Combine like terms: -20m + 20m = 0 -40 + 12m = -28 + 0 -40 + 12m = -28 Add '40' to each side of the equation. -40 + 40 + 12m = -28 + 40 Combine like terms: -40 + 40 = 0 0 + 12m = -28 + 40 12m = -28 + 40 Combine like terms: -28 + 40 = 12 12m = 12 Divide each side by '12'. m = 1 Simplifying m = 1
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