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Simplifying 4[3m + -6] = 72 + 3[m + -8] Reorder the terms: 4[-6 + 3m] = 72 + 3[m + -8] [-6 * 4 + 3m * 4] = 72 + 3[m + -8] [-24 + 12m] = 72 + 3[m + -8] Reorder the terms: -24 + 12m = 72 + 3[-8 + m] -24 + 12m = 72 + [-8 * 3 + m * 3] -24 + 12m = 72 + [-24 + 3m] Combine like terms: 72 + -24 = 48 -24 + 12m = 48 + 3m Solving -24 + 12m = 48 + 3m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '-3m' to each side of the equation. -24 + 12m + -3m = 48 + 3m + -3m Combine like terms: 12m + -3m = 9m -24 + 9m = 48 + 3m + -3m Combine like terms: 3m + -3m = 0 -24 + 9m = 48 + 0 -24 + 9m = 48 Add '24' to each side of the equation. -24 + 24 + 9m = 48 + 24 Combine like terms: -24 + 24 = 0 0 + 9m = 48 + 24 9m = 48 + 24 Combine like terms: 48 + 24 = 72 9m = 72 Divide each side by '9'. m = 8 Simplifying m = 8
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