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Simplifying 4(2 + -1m) = 5(6m + 5) (2 * 4 + -1m * 4) = 5(6m + 5) (8 + -4m) = 5(6m + 5) Reorder the terms: 8 + -4m = 5(5 + 6m) 8 + -4m = (5 * 5 + 6m * 5) 8 + -4m = (25 + 30m) Solving 8 + -4m = 25 + 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 + -4m + -30m = 25 + 30m + -30m Combine like terms: -4m + -30m = -34m 8 + -34m = 25 + 30m + -30m Combine like terms: 30m + -30m = 0 8 + -34m = 25 + 0 8 + -34m = 25 Add '-8' to each side of the equation. 8 + -8 + -34m = 25 + -8 Combine like terms: 8 + -8 = 0 0 + -34m = 25 + -8 -34m = 25 + -8 Combine like terms: 25 + -8 = 17 -34m = 17 Divide each side by '-34'. m = -0.5 Simplifying m = -0.5
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