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Simplifying 5 + 12m + -2 = 7m + 83 + -5m Reorder the terms: 5 + -2 + 12m = 7m + 83 + -5m Combine like terms: 5 + -2 = 3 3 + 12m = 7m + 83 + -5m Reorder the terms: 3 + 12m = 83 + 7m + -5m Combine like terms: 7m + -5m = 2m 3 + 12m = 83 + 2m Solving 3 + 12m = 83 + 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. 3 + 12m + -2m = 83 + 2m + -2m Combine like terms: 12m + -2m = 10m 3 + 10m = 83 + 2m + -2m Combine like terms: 2m + -2m = 0 3 + 10m = 83 + 0 3 + 10m = 83 Add '-3' to each side of the equation. 3 + -3 + 10m = 83 + -3 Combine like terms: 3 + -3 = 0 0 + 10m = 83 + -3 10m = 83 + -3 Combine like terms: 83 + -3 = 80 10m = 80 Divide each side by '10'. m = 8 Simplifying m = 8
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