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Simplifying 3m + 46 = 1 + 8m Reorder the terms: 46 + 3m = 1 + 8m Solving 46 + 3m = 1 + 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. 46 + 3m + -8m = 1 + 8m + -8m Combine like terms: 3m + -8m = -5m 46 + -5m = 1 + 8m + -8m Combine like terms: 8m + -8m = 0 46 + -5m = 1 + 0 46 + -5m = 1 Add '-46' to each side of the equation. 46 + -46 + -5m = 1 + -46 Combine like terms: 46 + -46 = 0 0 + -5m = 1 + -46 -5m = 1 + -46 Combine like terms: 1 + -46 = -45 -5m = -45 Divide each side by '-5'. m = 9 Simplifying m = 9
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