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Simplifying 12m + 8 = 10m + 12 Reorder the terms: 8 + 12m = 10m + 12 Reorder the terms: 8 + 12m = 12 + 10m Solving 8 + 12m = 12 + 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. 8 + 12m + -10m = 12 + 10m + -10m Combine like terms: 12m + -10m = 2m 8 + 2m = 12 + 10m + -10m Combine like terms: 10m + -10m = 0 8 + 2m = 12 + 0 8 + 2m = 12 Add '-8' to each side of the equation. 8 + -8 + 2m = 12 + -8 Combine like terms: 8 + -8 = 0 0 + 2m = 12 + -8 2m = 12 + -8 Combine like terms: 12 + -8 = 4 2m = 4 Divide each side by '2'. m = 2 Simplifying m = 2
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