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Simplifying 3m + 5 = 8m + -105 Reorder the terms: 5 + 3m = 8m + -105 Reorder the terms: 5 + 3m = -105 + 8m Solving 5 + 3m = -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. 5 + 3m + -8m = -105 + 8m + -8m Combine like terms: 3m + -8m = -5m 5 + -5m = -105 + 8m + -8m Combine like terms: 8m + -8m = 0 5 + -5m = -105 + 0 5 + -5m = -105 Add '-5' to each side of the equation. 5 + -5 + -5m = -105 + -5 Combine like terms: 5 + -5 = 0 0 + -5m = -105 + -5 -5m = -105 + -5 Combine like terms: -105 + -5 = -110 -5m = -110 Divide each side by '-5'. m = 22 Simplifying m = 22
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