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Simplifying 6m + 8(1 + -4m) = 6(8 + -5m) 6m + (1 * 8 + -4m * 8) = 6(8 + -5m) 6m + (8 + -32m) = 6(8 + -5m) Reorder the terms: 8 + 6m + -32m = 6(8 + -5m) Combine like terms: 6m + -32m = -26m 8 + -26m = 6(8 + -5m) 8 + -26m = (8 * 6 + -5m * 6) 8 + -26m = (48 + -30m) Solving 8 + -26m = 48 + -30m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '30m' to each side of the equation. 8 + -26m + 30m = 48 + -30m + 30m Combine like terms: -26m + 30m = 4m 8 + 4m = 48 + -30m + 30m Combine like terms: -30m + 30m = 0 8 + 4m = 48 + 0 8 + 4m = 48 Add '-8' to each side of the equation. 8 + -8 + 4m = 48 + -8 Combine like terms: 8 + -8 = 0 0 + 4m = 48 + -8 4m = 48 + -8 Combine like terms: 48 + -8 = 40 4m = 40 Divide each side by '4'. m = 10 Simplifying m = 10
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