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Simplifying 5m + -3(-9 + -4m) = 6(3m + 2) + -8 5m + (-9 * -3 + -4m * -3) = 6(3m + 2) + -8 5m + (27 + 12m) = 6(3m + 2) + -8 Reorder the terms: 27 + 5m + 12m = 6(3m + 2) + -8 Combine like terms: 5m + 12m = 17m 27 + 17m = 6(3m + 2) + -8 Reorder the terms: 27 + 17m = 6(2 + 3m) + -8 27 + 17m = (2 * 6 + 3m * 6) + -8 27 + 17m = (12 + 18m) + -8 Reorder the terms: 27 + 17m = 12 + -8 + 18m Combine like terms: 12 + -8 = 4 27 + 17m = 4 + 18m Solving 27 + 17m = 4 + 18m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '-18m' to each side of the equation. 27 + 17m + -18m = 4 + 18m + -18m Combine like terms: 17m + -18m = -1m 27 + -1m = 4 + 18m + -18m Combine like terms: 18m + -18m = 0 27 + -1m = 4 + 0 27 + -1m = 4 Add '-27' to each side of the equation. 27 + -27 + -1m = 4 + -27 Combine like terms: 27 + -27 = 0 0 + -1m = 4 + -27 -1m = 4 + -27 Combine like terms: 4 + -27 = -23 -1m = -23 Divide each side by '-1'. m = 23 Simplifying m = 23
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