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Simplifying 2m + 27 = 8m + 105 Reorder the terms: 27 + 2m = 8m + 105 Reorder the terms: 27 + 2m = 105 + 8m Solving 27 + 2m = 105 + 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. 27 + 2m + -8m = 105 + 8m + -8m Combine like terms: 2m + -8m = -6m 27 + -6m = 105 + 8m + -8m Combine like terms: 8m + -8m = 0 27 + -6m = 105 + 0 27 + -6m = 105 Add '-27' to each side of the equation. 27 + -27 + -6m = 105 + -27 Combine like terms: 27 + -27 = 0 0 + -6m = 105 + -27 -6m = 105 + -27 Combine like terms: 105 + -27 = 78 -6m = 78 Divide each side by '-6'. m = -13 Simplifying m = -13
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