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Simplifying 19 + -1(3m + 5) = 44 + 3m + -14 Reorder the terms: 19 + -1(5 + 3m) = 44 + 3m + -14 19 + (5 * -1 + 3m * -1) = 44 + 3m + -14 19 + (-5 + -3m) = 44 + 3m + -14 Combine like terms: 19 + -5 = 14 14 + -3m = 44 + 3m + -14 Reorder the terms: 14 + -3m = 44 + -14 + 3m Combine like terms: 44 + -14 = 30 14 + -3m = 30 + 3m Solving 14 + -3m = 30 + 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. 14 + -3m + -3m = 30 + 3m + -3m Combine like terms: -3m + -3m = -6m 14 + -6m = 30 + 3m + -3m Combine like terms: 3m + -3m = 0 14 + -6m = 30 + 0 14 + -6m = 30 Add '-14' to each side of the equation. 14 + -14 + -6m = 30 + -14 Combine like terms: 14 + -14 = 0 0 + -6m = 30 + -14 -6m = 30 + -14 Combine like terms: 30 + -14 = 16 -6m = 16 Divide each side by '-6'. m = -2.666666667 Simplifying m = -2.666666667
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