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Simplifying 12 + -1(3m + 4) = 3 + 3m + -19 Reorder the terms: 12 + -1(4 + 3m) = 3 + 3m + -19 12 + (4 * -1 + 3m * -1) = 3 + 3m + -19 12 + (-4 + -3m) = 3 + 3m + -19 Combine like terms: 12 + -4 = 8 8 + -3m = 3 + 3m + -19 Reorder the terms: 8 + -3m = 3 + -19 + 3m Combine like terms: 3 + -19 = -16 8 + -3m = -16 + 3m Solving 8 + -3m = -16 + 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 + -3m + -3m = -16 + 3m + -3m Combine like terms: -3m + -3m = -6m 8 + -6m = -16 + 3m + -3m Combine like terms: 3m + -3m = 0 8 + -6m = -16 + 0 8 + -6m = -16 Add '-8' to each side of the equation. 8 + -8 + -6m = -16 + -8 Combine like terms: 8 + -8 = 0 0 + -6m = -16 + -8 -6m = -16 + -8 Combine like terms: -16 + -8 = -24 -6m = -24 Divide each side by '-6'. m = 4 Simplifying m = 4
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