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Simplifying 6(4m + 5) = 8m + -2 Reorder the terms: 6(5 + 4m) = 8m + -2 (5 * 6 + 4m * 6) = 8m + -2 (30 + 24m) = 8m + -2 Reorder the terms: 30 + 24m = -2 + 8m Solving 30 + 24m = -2 + 8m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '-8m' to each side of the equation. 30 + 24m + -8m = -2 + 8m + -8m Combine like terms: 24m + -8m = 16m 30 + 16m = -2 + 8m + -8m Combine like terms: 8m + -8m = 0 30 + 16m = -2 + 0 30 + 16m = -2 Add '-30' to each side of the equation. 30 + -30 + 16m = -2 + -30 Combine like terms: 30 + -30 = 0 0 + 16m = -2 + -30 16m = -2 + -30 Combine like terms: -2 + -30 = -32 16m = -32 Divide each side by '16'. m = -2 Simplifying m = -2
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