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Simplifying 2m = 27 + 8m + -105 Reorder the terms: 2m = 27 + -105 + 8m Combine like terms: 27 + -105 = -78 2m = -78 + 8m Solving 2m = -78 + 8m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '-8m' to each side of the equation. 2m + -8m = -78 + 8m + -8m Combine like terms: 2m + -8m = -6m -6m = -78 + 8m + -8m Combine like terms: 8m + -8m = 0 -6m = -78 + 0 -6m = -78 Divide each side by '-6'. m = 13 Simplifying m = 13
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