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Simplifying 19 + -1(3m + 4) = 5 + 3m + -14 Reorder the terms: 19 + -1(4 + 3m) = 5 + 3m + -14 19 + (4 * -1 + 3m * -1) = 5 + 3m + -14 19 + (-4 + -3m) = 5 + 3m + -14 Combine like terms: 19 + -4 = 15 15 + -3m = 5 + 3m + -14 Reorder the terms: 15 + -3m = 5 + -14 + 3m Combine like terms: 5 + -14 = -9 15 + -3m = -9 + 3m Solving 15 + -3m = -9 + 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. 15 + -3m + -3m = -9 + 3m + -3m Combine like terms: -3m + -3m = -6m 15 + -6m = -9 + 3m + -3m Combine like terms: 3m + -3m = 0 15 + -6m = -9 + 0 15 + -6m = -9 Add '-15' to each side of the equation. 15 + -15 + -6m = -9 + -15 Combine like terms: 15 + -15 = 0 0 + -6m = -9 + -15 -6m = -9 + -15 Combine like terms: -9 + -15 = -24 -6m = -24 Divide each side by '-6'. m = 4 Simplifying m = 4
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