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Simplifying 6m + 8m + -1(2m + 3) = 3(3m + -8) Reorder the terms: 6m + 8m + -1(3 + 2m) = 3(3m + -8) 6m + 8m + (3 * -1 + 2m * -1) = 3(3m + -8) 6m + 8m + (-3 + -2m) = 3(3m + -8) Reorder the terms: -3 + 6m + 8m + -2m = 3(3m + -8) Combine like terms: 6m + 8m = 14m -3 + 14m + -2m = 3(3m + -8) Combine like terms: 14m + -2m = 12m -3 + 12m = 3(3m + -8) Reorder the terms: -3 + 12m = 3(-8 + 3m) -3 + 12m = (-8 * 3 + 3m * 3) -3 + 12m = (-24 + 9m) Solving -3 + 12m = -24 + 9m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '-9m' to each side of the equation. -3 + 12m + -9m = -24 + 9m + -9m Combine like terms: 12m + -9m = 3m -3 + 3m = -24 + 9m + -9m Combine like terms: 9m + -9m = 0 -3 + 3m = -24 + 0 -3 + 3m = -24 Add '3' to each side of the equation. -3 + 3 + 3m = -24 + 3 Combine like terms: -3 + 3 = 0 0 + 3m = -24 + 3 3m = -24 + 3 Combine like terms: -24 + 3 = -21 3m = -21 Divide each side by '3'. m = -7 Simplifying m = -7
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