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Simplifying 6 + 10m + -2 = 9m + 22 + -5m Reorder the terms: 6 + -2 + 10m = 9m + 22 + -5m Combine like terms: 6 + -2 = 4 4 + 10m = 9m + 22 + -5m Reorder the terms: 4 + 10m = 22 + 9m + -5m Combine like terms: 9m + -5m = 4m 4 + 10m = 22 + 4m Solving 4 + 10m = 22 + 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. 4 + 10m + -4m = 22 + 4m + -4m Combine like terms: 10m + -4m = 6m 4 + 6m = 22 + 4m + -4m Combine like terms: 4m + -4m = 0 4 + 6m = 22 + 0 4 + 6m = 22 Add '-4' to each side of the equation. 4 + -4 + 6m = 22 + -4 Combine like terms: 4 + -4 = 0 0 + 6m = 22 + -4 6m = 22 + -4 Combine like terms: 22 + -4 = 18 6m = 18 Divide each side by '6'. m = 3 Simplifying m = 3
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