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Simplifying 12 + -1(5m + 4) = 3 + 3m + -11 Reorder the terms: 12 + -1(4 + 5m) = 3 + 3m + -11 12 + (4 * -1 + 5m * -1) = 3 + 3m + -11 12 + (-4 + -5m) = 3 + 3m + -11 Combine like terms: 12 + -4 = 8 8 + -5m = 3 + 3m + -11 Reorder the terms: 8 + -5m = 3 + -11 + 3m Combine like terms: 3 + -11 = -8 8 + -5m = -8 + 3m Solving 8 + -5m = -8 + 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. 8 + -5m + -3m = -8 + 3m + -3m Combine like terms: -5m + -3m = -8m 8 + -8m = -8 + 3m + -3m Combine like terms: 3m + -3m = 0 8 + -8m = -8 + 0 8 + -8m = -8 Add '-8' to each side of the equation. 8 + -8 + -8m = -8 + -8 Combine like terms: 8 + -8 = 0 0 + -8m = -8 + -8 -8m = -8 + -8 Combine like terms: -8 + -8 = -16 -8m = -16 Divide each side by '-8'. m = 2 Simplifying m = 2
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