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Simplifying 2m + -1 + 3m + 5 = 6m + -8 Reorder the terms: -1 + 5 + 2m + 3m = 6m + -8 Combine like terms: -1 + 5 = 4 4 + 2m + 3m = 6m + -8 Combine like terms: 2m + 3m = 5m 4 + 5m = 6m + -8 Reorder the terms: 4 + 5m = -8 + 6m Solving 4 + 5m = -8 + 6m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '-6m' to each side of the equation. 4 + 5m + -6m = -8 + 6m + -6m Combine like terms: 5m + -6m = -1m 4 + -1m = -8 + 6m + -6m Combine like terms: 6m + -6m = 0 4 + -1m = -8 + 0 4 + -1m = -8 Add '-4' to each side of the equation. 4 + -4 + -1m = -8 + -4 Combine like terms: 4 + -4 = 0 0 + -1m = -8 + -4 -1m = -8 + -4 Combine like terms: -8 + -4 = -12 -1m = -12 Divide each side by '-1'. m = 12 Simplifying m = 12
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