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Simplifying 7 + 14m + -2 = 6m + 41 + -4m Reorder the terms: 7 + -2 + 14m = 6m + 41 + -4m Combine like terms: 7 + -2 = 5 5 + 14m = 6m + 41 + -4m Reorder the terms: 5 + 14m = 41 + 6m + -4m Combine like terms: 6m + -4m = 2m 5 + 14m = 41 + 2m Solving 5 + 14m = 41 + 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. 5 + 14m + -2m = 41 + 2m + -2m Combine like terms: 14m + -2m = 12m 5 + 12m = 41 + 2m + -2m Combine like terms: 2m + -2m = 0 5 + 12m = 41 + 0 5 + 12m = 41 Add '-5' to each side of the equation. 5 + -5 + 12m = 41 + -5 Combine like terms: 5 + -5 = 0 0 + 12m = 41 + -5 12m = 41 + -5 Combine like terms: 41 + -5 = 36 12m = 36 Divide each side by '12'. m = 3 Simplifying m = 3
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