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Simplifying 3(3m + -8) = 6m + 6 Reorder the terms: 3(-8 + 3m) = 6m + 6 (-8 * 3 + 3m * 3) = 6m + 6 (-24 + 9m) = 6m + 6 Reorder the terms: -24 + 9m = 6 + 6m Solving -24 + 9m = 6 + 6m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '-6m' to each side of the equation. -24 + 9m + -6m = 6 + 6m + -6m Combine like terms: 9m + -6m = 3m -24 + 3m = 6 + 6m + -6m Combine like terms: 6m + -6m = 0 -24 + 3m = 6 + 0 -24 + 3m = 6 Add '24' to each side of the equation. -24 + 24 + 3m = 6 + 24 Combine like terms: -24 + 24 = 0 0 + 3m = 6 + 24 3m = 6 + 24 Combine like terms: 6 + 24 = 30 3m = 30 Divide each side by '3'. m = 10 Simplifying m = 10
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