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Simplifying 2 + 5m = 3m + -6 Reorder the terms: 2 + 5m = -6 + 3m Solving 2 + 5m = -6 + 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. 2 + 5m + -3m = -6 + 3m + -3m Combine like terms: 5m + -3m = 2m 2 + 2m = -6 + 3m + -3m Combine like terms: 3m + -3m = 0 2 + 2m = -6 + 0 2 + 2m = -6 Add '-2' to each side of the equation. 2 + -2 + 2m = -6 + -2 Combine like terms: 2 + -2 = 0 0 + 2m = -6 + -2 2m = -6 + -2 Combine like terms: -6 + -2 = -8 2m = -8 Divide each side by '2'. m = -4 Simplifying m = -4
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