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Simplifying 7m + 12 = 5m + 16 Reorder the terms: 12 + 7m = 5m + 16 Reorder the terms: 12 + 7m = 16 + 5m Solving 12 + 7m = 16 + 5m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '-5m' to each side of the equation. 12 + 7m + -5m = 16 + 5m + -5m Combine like terms: 7m + -5m = 2m 12 + 2m = 16 + 5m + -5m Combine like terms: 5m + -5m = 0 12 + 2m = 16 + 0 12 + 2m = 16 Add '-12' to each side of the equation. 12 + -12 + 2m = 16 + -12 Combine like terms: 12 + -12 = 0 0 + 2m = 16 + -12 2m = 16 + -12 Combine like terms: 16 + -12 = 4 2m = 4 Divide each side by '2'. m = 2 Simplifying m = 2
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