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Simplifying 12 + -1(2m + 4) = 2 + 3m + -19 Reorder the terms: 12 + -1(4 + 2m) = 2 + 3m + -19 12 + (4 * -1 + 2m * -1) = 2 + 3m + -19 12 + (-4 + -2m) = 2 + 3m + -19 Combine like terms: 12 + -4 = 8 8 + -2m = 2 + 3m + -19 Reorder the terms: 8 + -2m = 2 + -19 + 3m Combine like terms: 2 + -19 = -17 8 + -2m = -17 + 3m Solving 8 + -2m = -17 + 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 + -2m + -3m = -17 + 3m + -3m Combine like terms: -2m + -3m = -5m 8 + -5m = -17 + 3m + -3m Combine like terms: 3m + -3m = 0 8 + -5m = -17 + 0 8 + -5m = -17 Add '-8' to each side of the equation. 8 + -8 + -5m = -17 + -8 Combine like terms: 8 + -8 = 0 0 + -5m = -17 + -8 -5m = -17 + -8 Combine like terms: -17 + -8 = -25 -5m = -25 Divide each side by '-5'. m = 5 Simplifying m = 5
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