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Simplifying 8(5 + -1m) = 10(8 + -1m) (5 * 8 + -1m * 8) = 10(8 + -1m) (40 + -8m) = 10(8 + -1m) 40 + -8m = (8 * 10 + -1m * 10) 40 + -8m = (80 + -10m) Solving 40 + -8m = 80 + -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. 40 + -8m + 10m = 80 + -10m + 10m Combine like terms: -8m + 10m = 2m 40 + 2m = 80 + -10m + 10m Combine like terms: -10m + 10m = 0 40 + 2m = 80 + 0 40 + 2m = 80 Add '-40' to each side of the equation. 40 + -40 + 2m = 80 + -40 Combine like terms: 40 + -40 = 0 0 + 2m = 80 + -40 2m = 80 + -40 Combine like terms: 80 + -40 = 40 2m = 40 Divide each side by '2'. m = 20 Simplifying m = 20
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