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Simplifying 5m + 7 = 4m + 12 Reorder the terms: 7 + 5m = 4m + 12 Reorder the terms: 7 + 5m = 12 + 4m Solving 7 + 5m = 12 + 4m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '-4m' to each side of the equation. 7 + 5m + -4m = 12 + 4m + -4m Combine like terms: 5m + -4m = 1m 7 + 1m = 12 + 4m + -4m Combine like terms: 4m + -4m = 0 7 + 1m = 12 + 0 7 + 1m = 12 Add '-7' to each side of the equation. 7 + -7 + 1m = 12 + -7 Combine like terms: 7 + -7 = 0 0 + 1m = 12 + -7 1m = 12 + -7 Combine like terms: 12 + -7 = 5 1m = 5 Divide each side by '1'. m = 5 Simplifying m = 5
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