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Simplifying 3(4m + 3) = 5m + -19 Reorder the terms: 3(3 + 4m) = 5m + -19 (3 * 3 + 4m * 3) = 5m + -19 (9 + 12m) = 5m + -19 Reorder the terms: 9 + 12m = -19 + 5m Solving 9 + 12m = -19 + 5m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '-5m' to each side of the equation. 9 + 12m + -5m = -19 + 5m + -5m Combine like terms: 12m + -5m = 7m 9 + 7m = -19 + 5m + -5m Combine like terms: 5m + -5m = 0 9 + 7m = -19 + 0 9 + 7m = -19 Add '-9' to each side of the equation. 9 + -9 + 7m = -19 + -9 Combine like terms: 9 + -9 = 0 0 + 7m = -19 + -9 7m = -19 + -9 Combine like terms: -19 + -9 = -28 7m = -28 Divide each side by '7'. m = -4 Simplifying m = -4
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