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Simplifying 16 + -1(3m + 5) = 5 + 2m + -14 Reorder the terms: 16 + -1(5 + 3m) = 5 + 2m + -14 16 + (5 * -1 + 3m * -1) = 5 + 2m + -14 16 + (-5 + -3m) = 5 + 2m + -14 Combine like terms: 16 + -5 = 11 11 + -3m = 5 + 2m + -14 Reorder the terms: 11 + -3m = 5 + -14 + 2m Combine like terms: 5 + -14 = -9 11 + -3m = -9 + 2m Solving 11 + -3m = -9 + 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. 11 + -3m + -2m = -9 + 2m + -2m Combine like terms: -3m + -2m = -5m 11 + -5m = -9 + 2m + -2m Combine like terms: 2m + -2m = 0 11 + -5m = -9 + 0 11 + -5m = -9 Add '-11' to each side of the equation. 11 + -11 + -5m = -9 + -11 Combine like terms: 11 + -11 = 0 0 + -5m = -9 + -11 -5m = -9 + -11 Combine like terms: -9 + -11 = -20 -5m = -20 Divide each side by '-5'. m = 4 Simplifying m = 4
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