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Simplifying 7 + 7m + -1 = 9m + 21 + -5m Reorder the terms: 7 + -1 + 7m = 9m + 21 + -5m Combine like terms: 7 + -1 = 6 6 + 7m = 9m + 21 + -5m Reorder the terms: 6 + 7m = 21 + 9m + -5m Combine like terms: 9m + -5m = 4m 6 + 7m = 21 + 4m Solving 6 + 7m = 21 + 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. 6 + 7m + -4m = 21 + 4m + -4m Combine like terms: 7m + -4m = 3m 6 + 3m = 21 + 4m + -4m Combine like terms: 4m + -4m = 0 6 + 3m = 21 + 0 6 + 3m = 21 Add '-6' to each side of the equation. 6 + -6 + 3m = 21 + -6 Combine like terms: 6 + -6 = 0 0 + 3m = 21 + -6 3m = 21 + -6 Combine like terms: 21 + -6 = 15 3m = 15 Divide each side by '3'. m = 5 Simplifying m = 5
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