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Simplifying 4m + 9m + 6m + 2 = 4m + 6m + 5m + 4 Reorder the terms: 2 + 4m + 9m + 6m = 4m + 6m + 5m + 4 Combine like terms: 4m + 9m = 13m 2 + 13m + 6m = 4m + 6m + 5m + 4 Combine like terms: 13m + 6m = 19m 2 + 19m = 4m + 6m + 5m + 4 Reorder the terms: 2 + 19m = 4 + 4m + 6m + 5m Combine like terms: 4m + 6m = 10m 2 + 19m = 4 + 10m + 5m Combine like terms: 10m + 5m = 15m 2 + 19m = 4 + 15m Solving 2 + 19m = 4 + 15m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '-15m' to each side of the equation. 2 + 19m + -15m = 4 + 15m + -15m Combine like terms: 19m + -15m = 4m 2 + 4m = 4 + 15m + -15m Combine like terms: 15m + -15m = 0 2 + 4m = 4 + 0 2 + 4m = 4 Add '-2' to each side of the equation. 2 + -2 + 4m = 4 + -2 Combine like terms: 2 + -2 = 0 0 + 4m = 4 + -2 4m = 4 + -2 Combine like terms: 4 + -2 = 2 4m = 2 Divide each side by '4'. m = 0.5 Simplifying m = 0.5
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