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Simplifying 3m + 12 + 8m + 4 = -11(3m + 2) + 5m + -8 Reorder the terms: 12 + 4 + 3m + 8m = -11(3m + 2) + 5m + -8 Combine like terms: 12 + 4 = 16 16 + 3m + 8m = -11(3m + 2) + 5m + -8 Combine like terms: 3m + 8m = 11m 16 + 11m = -11(3m + 2) + 5m + -8 Reorder the terms: 16 + 11m = -11(2 + 3m) + 5m + -8 16 + 11m = (2 * -11 + 3m * -11) + 5m + -8 16 + 11m = (-22 + -33m) + 5m + -8 Reorder the terms: 16 + 11m = -22 + -8 + -33m + 5m Combine like terms: -22 + -8 = -30 16 + 11m = -30 + -33m + 5m Combine like terms: -33m + 5m = -28m 16 + 11m = -30 + -28m Solving 16 + 11m = -30 + -28m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '28m' to each side of the equation. 16 + 11m + 28m = -30 + -28m + 28m Combine like terms: 11m + 28m = 39m 16 + 39m = -30 + -28m + 28m Combine like terms: -28m + 28m = 0 16 + 39m = -30 + 0 16 + 39m = -30 Add '-16' to each side of the equation. 16 + -16 + 39m = -30 + -16 Combine like terms: 16 + -16 = 0 0 + 39m = -30 + -16 39m = -30 + -16 Combine like terms: -30 + -16 = -46 39m = -46 Divide each side by '39'. m = -1.179487179 Simplifying m = -1.179487179
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