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Simplifying 4m + 19 = 5m + 12 Reorder the terms: 19 + 4m = 5m + 12 Reorder the terms: 19 + 4m = 12 + 5m Solving 19 + 4m = 12 + 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. 19 + 4m + -5m = 12 + 5m + -5m Combine like terms: 4m + -5m = -1m 19 + -1m = 12 + 5m + -5m Combine like terms: 5m + -5m = 0 19 + -1m = 12 + 0 19 + -1m = 12 Add '-19' to each side of the equation. 19 + -19 + -1m = 12 + -19 Combine like terms: 19 + -19 = 0 0 + -1m = 12 + -19 -1m = 12 + -19 Combine like terms: 12 + -19 = -7 -1m = -7 Divide each side by '-1'. m = 7 Simplifying m = 7
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