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Simplifying 19 + -1(3m + 3) = 5 + 2m + -14 Reorder the terms: 19 + -1(3 + 3m) = 5 + 2m + -14 19 + (3 * -1 + 3m * -1) = 5 + 2m + -14 19 + (-3 + -3m) = 5 + 2m + -14 Combine like terms: 19 + -3 = 16 16 + -3m = 5 + 2m + -14 Reorder the terms: 16 + -3m = 5 + -14 + 2m Combine like terms: 5 + -14 = -9 16 + -3m = -9 + 2m Solving 16 + -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. 16 + -3m + -2m = -9 + 2m + -2m Combine like terms: -3m + -2m = -5m 16 + -5m = -9 + 2m + -2m Combine like terms: 2m + -2m = 0 16 + -5m = -9 + 0 16 + -5m = -9 Add '-16' to each side of the equation. 16 + -16 + -5m = -9 + -16 Combine like terms: 16 + -16 = 0 0 + -5m = -9 + -16 -5m = -9 + -16 Combine like terms: -9 + -16 = -25 -5m = -25 Divide each side by '-5'. m = 5 Simplifying m = 5
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