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Simplifying 8 + 10(1 + 10m) = 10m + 12(-1 + 5) 8 + (1 * 10 + 10m * 10) = 10m + 12(-1 + 5) 8 + (10 + 100m) = 10m + 12(-1 + 5) Combine like terms: 8 + 10 = 18 18 + 100m = 10m + 12(-1 + 5) Combine like terms: -1 + 5 = 4 18 + 100m = 10m + 12(4) Multiply 12 * 4 18 + 100m = 10m + 48 Reorder the terms: 18 + 100m = 48 + 10m Solving 18 + 100m = 48 + 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. 18 + 100m + -10m = 48 + 10m + -10m Combine like terms: 100m + -10m = 90m 18 + 90m = 48 + 10m + -10m Combine like terms: 10m + -10m = 0 18 + 90m = 48 + 0 18 + 90m = 48 Add '-18' to each side of the equation. 18 + -18 + 90m = 48 + -18 Combine like terms: 18 + -18 = 0 0 + 90m = 48 + -18 90m = 48 + -18 Combine like terms: 48 + -18 = 30 90m = 30 Divide each side by '90'. m = 0.3333333333 Simplifying m = 0.3333333333
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