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Simplifying 19 + -1(3m + 6) = 2 + 2m + -19 Reorder the terms: 19 + -1(6 + 3m) = 2 + 2m + -19 19 + (6 * -1 + 3m * -1) = 2 + 2m + -19 19 + (-6 + -3m) = 2 + 2m + -19 Combine like terms: 19 + -6 = 13 13 + -3m = 2 + 2m + -19 Reorder the terms: 13 + -3m = 2 + -19 + 2m Combine like terms: 2 + -19 = -17 13 + -3m = -17 + 2m Solving 13 + -3m = -17 + 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. 13 + -3m + -2m = -17 + 2m + -2m Combine like terms: -3m + -2m = -5m 13 + -5m = -17 + 2m + -2m Combine like terms: 2m + -2m = 0 13 + -5m = -17 + 0 13 + -5m = -17 Add '-13' to each side of the equation. 13 + -13 + -5m = -17 + -13 Combine like terms: 13 + -13 = 0 0 + -5m = -17 + -13 -5m = -17 + -13 Combine like terms: -17 + -13 = -30 -5m = -30 Divide each side by '-5'. m = 6 Simplifying m = 6
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