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Simplifying 12 + -1(3m + 7) = 4 + 2m + -19 Reorder the terms: 12 + -1(7 + 3m) = 4 + 2m + -19 12 + (7 * -1 + 3m * -1) = 4 + 2m + -19 12 + (-7 + -3m) = 4 + 2m + -19 Combine like terms: 12 + -7 = 5 5 + -3m = 4 + 2m + -19 Reorder the terms: 5 + -3m = 4 + -19 + 2m Combine like terms: 4 + -19 = -15 5 + -3m = -15 + 2m Solving 5 + -3m = -15 + 2m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '-2m' to each side of the equation. 5 + -3m + -2m = -15 + 2m + -2m Combine like terms: -3m + -2m = -5m 5 + -5m = -15 + 2m + -2m Combine like terms: 2m + -2m = 0 5 + -5m = -15 + 0 5 + -5m = -15 Add '-5' to each side of the equation. 5 + -5 + -5m = -15 + -5 Combine like terms: 5 + -5 = 0 0 + -5m = -15 + -5 -5m = -15 + -5 Combine like terms: -15 + -5 = -20 -5m = -20 Divide each side by '-5'. m = 4 Simplifying m = 4
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