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Simplifying 4m + 12 = 5m + 7 Reorder the terms: 12 + 4m = 5m + 7 Reorder the terms: 12 + 4m = 7 + 5m Solving 12 + 4m = 7 + 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 + 4m + -5m = 7 + 5m + -5m Combine like terms: 4m + -5m = -1m 12 + -1m = 7 + 5m + -5m Combine like terms: 5m + -5m = 0 12 + -1m = 7 + 0 12 + -1m = 7 Add '-12' to each side of the equation. 12 + -12 + -1m = 7 + -12 Combine like terms: 12 + -12 = 0 0 + -1m = 7 + -12 -1m = 7 + -12 Combine like terms: 7 + -12 = -5 -1m = -5 Divide each side by '-1'. m = 5 Simplifying m = 5
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