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Simplifying 12m + 14 + 3(5m + 8) + -7m = 0 Reorder the terms: 12m + 14 + 3(8 + 5m) + -7m = 0 12m + 14 + (8 * 3 + 5m * 3) + -7m = 0 12m + 14 + (24 + 15m) + -7m = 0 Reorder the terms: 14 + 24 + 12m + 15m + -7m = 0 Combine like terms: 14 + 24 = 38 38 + 12m + 15m + -7m = 0 Combine like terms: 12m + 15m = 27m 38 + 27m + -7m = 0 Combine like terms: 27m + -7m = 20m 38 + 20m = 0 Solving 38 + 20m = 0 Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '-38' to each side of the equation. 38 + -38 + 20m = 0 + -38 Combine like terms: 38 + -38 = 0 0 + 20m = 0 + -38 20m = 0 + -38 Combine like terms: 0 + -38 = -38 20m = -38 Divide each side by '20'. m = -1.9 Simplifying m = -1.9
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