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Simplifying 7 + 10m + -1 = 5m + 27 + -2m Reorder the terms: 7 + -1 + 10m = 5m + 27 + -2m Combine like terms: 7 + -1 = 6 6 + 10m = 5m + 27 + -2m Reorder the terms: 6 + 10m = 27 + 5m + -2m Combine like terms: 5m + -2m = 3m 6 + 10m = 27 + 3m Solving 6 + 10m = 27 + 3m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '-3m' to each side of the equation. 6 + 10m + -3m = 27 + 3m + -3m Combine like terms: 10m + -3m = 7m 6 + 7m = 27 + 3m + -3m Combine like terms: 3m + -3m = 0 6 + 7m = 27 + 0 6 + 7m = 27 Add '-6' to each side of the equation. 6 + -6 + 7m = 27 + -6 Combine like terms: 6 + -6 = 0 0 + 7m = 27 + -6 7m = 27 + -6 Combine like terms: 27 + -6 = 21 7m = 21 Divide each side by '7'. m = 3 Simplifying m = 3
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