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Simplifying 4(6m + 5) = -8m + 5(6 + 6m) Reorder the terms: 4(5 + 6m) = -8m + 5(6 + 6m) (5 * 4 + 6m * 4) = -8m + 5(6 + 6m) (20 + 24m) = -8m + 5(6 + 6m) 20 + 24m = -8m + (6 * 5 + 6m * 5) 20 + 24m = -8m + (30 + 30m) Reorder the terms: 20 + 24m = 30 + -8m + 30m Combine like terms: -8m + 30m = 22m 20 + 24m = 30 + 22m Solving 20 + 24m = 30 + 22m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '-22m' to each side of the equation. 20 + 24m + -22m = 30 + 22m + -22m Combine like terms: 24m + -22m = 2m 20 + 2m = 30 + 22m + -22m Combine like terms: 22m + -22m = 0 20 + 2m = 30 + 0 20 + 2m = 30 Add '-20' to each side of the equation. 20 + -20 + 2m = 30 + -20 Combine like terms: 20 + -20 = 0 0 + 2m = 30 + -20 2m = 30 + -20 Combine like terms: 30 + -20 = 10 2m = 10 Divide each side by '2'. m = 5 Simplifying m = 5
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