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Simplifying 19 + -1(3m + 4) = 3 + 2m + -13 Reorder the terms: 19 + -1(4 + 3m) = 3 + 2m + -13 19 + (4 * -1 + 3m * -1) = 3 + 2m + -13 19 + (-4 + -3m) = 3 + 2m + -13 Combine like terms: 19 + -4 = 15 15 + -3m = 3 + 2m + -13 Reorder the terms: 15 + -3m = 3 + -13 + 2m Combine like terms: 3 + -13 = -10 15 + -3m = -10 + 2m Solving 15 + -3m = -10 + 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. 15 + -3m + -2m = -10 + 2m + -2m Combine like terms: -3m + -2m = -5m 15 + -5m = -10 + 2m + -2m Combine like terms: 2m + -2m = 0 15 + -5m = -10 + 0 15 + -5m = -10 Add '-15' to each side of the equation. 15 + -15 + -5m = -10 + -15 Combine like terms: 15 + -15 = 0 0 + -5m = -10 + -15 -5m = -10 + -15 Combine like terms: -10 + -15 = -25 -5m = -25 Divide each side by '-5'. m = 5 Simplifying m = 5
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