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Simplifying 6(3m + -3) = 34 + 5m Reorder the terms: 6(-3 + 3m) = 34 + 5m (-3 * 6 + 3m * 6) = 34 + 5m (-18 + 18m) = 34 + 5m Solving -18 + 18m = 34 + 5m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '-5m' to each side of the equation. -18 + 18m + -5m = 34 + 5m + -5m Combine like terms: 18m + -5m = 13m -18 + 13m = 34 + 5m + -5m Combine like terms: 5m + -5m = 0 -18 + 13m = 34 + 0 -18 + 13m = 34 Add '18' to each side of the equation. -18 + 18 + 13m = 34 + 18 Combine like terms: -18 + 18 = 0 0 + 13m = 34 + 18 13m = 34 + 18 Combine like terms: 34 + 18 = 52 13m = 52 Divide each side by '13'. m = 4 Simplifying m = 4
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