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Simplifying -3m + 2(2m + 4) = 19m + -20 + 3 + -6m + 3 Reorder the terms: -3m + 2(4 + 2m) = 19m + -20 + 3 + -6m + 3 -3m + (4 * 2 + 2m * 2) = 19m + -20 + 3 + -6m + 3 -3m + (8 + 4m) = 19m + -20 + 3 + -6m + 3 Reorder the terms: 8 + -3m + 4m = 19m + -20 + 3 + -6m + 3 Combine like terms: -3m + 4m = 1m 8 + 1m = 19m + -20 + 3 + -6m + 3 Reorder the terms: 8 + 1m = -20 + 3 + 3 + 19m + -6m Combine like terms: -20 + 3 = -17 8 + 1m = -17 + 3 + 19m + -6m Combine like terms: -17 + 3 = -14 8 + 1m = -14 + 19m + -6m Combine like terms: 19m + -6m = 13m 8 + 1m = -14 + 13m Solving 8 + 1m = -14 + 13m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '-13m' to each side of the equation. 8 + 1m + -13m = -14 + 13m + -13m Combine like terms: 1m + -13m = -12m 8 + -12m = -14 + 13m + -13m Combine like terms: 13m + -13m = 0 8 + -12m = -14 + 0 8 + -12m = -14 Add '-8' to each side of the equation. 8 + -8 + -12m = -14 + -8 Combine like terms: 8 + -8 = 0 0 + -12m = -14 + -8 -12m = -14 + -8 Combine like terms: -14 + -8 = -22 -12m = -22 Divide each side by '-12'. m = 1.833333333 Simplifying m = 1.833333333
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