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Simplifying 8 + 10(1 + 10m) = 10m + 12(-1 + 5m) 8 + (1 * 10 + 10m * 10) = 10m + 12(-1 + 5m) 8 + (10 + 100m) = 10m + 12(-1 + 5m) Combine like terms: 8 + 10 = 18 18 + 100m = 10m + 12(-1 + 5m) 18 + 100m = 10m + (-1 * 12 + 5m * 12) 18 + 100m = 10m + (-12 + 60m) Reorder the terms: 18 + 100m = -12 + 10m + 60m Combine like terms: 10m + 60m = 70m 18 + 100m = -12 + 70m Solving 18 + 100m = -12 + 70m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '-70m' to each side of the equation. 18 + 100m + -70m = -12 + 70m + -70m Combine like terms: 100m + -70m = 30m 18 + 30m = -12 + 70m + -70m Combine like terms: 70m + -70m = 0 18 + 30m = -12 + 0 18 + 30m = -12 Add '-18' to each side of the equation. 18 + -18 + 30m = -12 + -18 Combine like terms: 18 + -18 = 0 0 + 30m = -12 + -18 30m = -12 + -18 Combine like terms: -12 + -18 = -30 30m = -30 Divide each side by '30'. m = -1 Simplifying m = -1
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