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Simplifying 5m + 5 + 6 = 12 + 3m + 2M + -1 Reorder the terms: 5 + 6 + 5m = 12 + 3m + 2M + -1 Combine like terms: 5 + 6 = 11 11 + 5m = 12 + 3m + 2M + -1 Reorder the terms: 11 + 5m = 12 + -1 + 2M + 3m Combine like terms: 12 + -1 = 11 11 + 5m = 11 + 2M + 3m Add '-11' to each side of the equation. 11 + -11 + 5m = 11 + 2M + -11 + 3m Combine like terms: 11 + -11 = 0 0 + 5m = 11 + 2M + -11 + 3m 5m = 11 + 2M + -11 + 3m Reorder the terms: 5m = 11 + -11 + 2M + 3m Combine like terms: 11 + -11 = 0 5m = 0 + 2M + 3m 5m = 2M + 3m Solving 5m = 2M + 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. 5m + -3m = 2M + 3m + -3m Combine like terms: 5m + -3m = 2m 2m = 2M + 3m + -3m Combine like terms: 3m + -3m = 0 2m = 2M + 0 2m = 2M Divide each side by '2'. m = M Simplifying m = M
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