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Simplifying 4m + 19 = 5m + 9 Reorder the terms: 19 + 4m = 5m + 9 Reorder the terms: 19 + 4m = 9 + 5m Solving 19 + 4m = 9 + 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 = 9 + 5m + -5m Combine like terms: 4m + -5m = -1m 19 + -1m = 9 + 5m + -5m Combine like terms: 5m + -5m = 0 19 + -1m = 9 + 0 19 + -1m = 9 Add '-19' to each side of the equation. 19 + -19 + -1m = 9 + -19 Combine like terms: 19 + -19 = 0 0 + -1m = 9 + -19 -1m = 9 + -19 Combine like terms: 9 + -19 = -10 -1m = -10 Divide each side by '-1'. m = 10 Simplifying m = 10
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