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Simplifying 14m + -10 + 2m = 2(12 + 5m) Reorder the terms: -10 + 14m + 2m = 2(12 + 5m) Combine like terms: 14m + 2m = 16m -10 + 16m = 2(12 + 5m) -10 + 16m = (12 * 2 + 5m * 2) -10 + 16m = (24 + 10m) Solving -10 + 16m = 24 + 10m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '-10m' to each side of the equation. -10 + 16m + -10m = 24 + 10m + -10m Combine like terms: 16m + -10m = 6m -10 + 6m = 24 + 10m + -10m Combine like terms: 10m + -10m = 0 -10 + 6m = 24 + 0 -10 + 6m = 24 Add '10' to each side of the equation. -10 + 10 + 6m = 24 + 10 Combine like terms: -10 + 10 = 0 0 + 6m = 24 + 10 6m = 24 + 10 Combine like terms: 24 + 10 = 34 6m = 34 Divide each side by '6'. m = 5.666666667 Simplifying m = 5.666666667
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