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Simplifying 5 + 6m + -4 = 7m + 10 + -2m Reorder the terms: 5 + -4 + 6m = 7m + 10 + -2m Combine like terms: 5 + -4 = 1 1 + 6m = 7m + 10 + -2m Reorder the terms: 1 + 6m = 10 + 7m + -2m Combine like terms: 7m + -2m = 5m 1 + 6m = 10 + 5m Solving 1 + 6m = 10 + 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. 1 + 6m + -5m = 10 + 5m + -5m Combine like terms: 6m + -5m = 1m 1 + 1m = 10 + 5m + -5m Combine like terms: 5m + -5m = 0 1 + 1m = 10 + 0 1 + 1m = 10 Add '-1' to each side of the equation. 1 + -1 + 1m = 10 + -1 Combine like terms: 1 + -1 = 0 0 + 1m = 10 + -1 1m = 10 + -1 Combine like terms: 10 + -1 = 9 1m = 9 Divide each side by '1'. m = 9 Simplifying m = 9
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