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Simplifying 8m + 1 = 3m + 21 Reorder the terms: 1 + 8m = 3m + 21 Reorder the terms: 1 + 8m = 21 + 3m Solving 1 + 8m = 21 + 3m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '-3m' to each side of the equation. 1 + 8m + -3m = 21 + 3m + -3m Combine like terms: 8m + -3m = 5m 1 + 5m = 21 + 3m + -3m Combine like terms: 3m + -3m = 0 1 + 5m = 21 + 0 1 + 5m = 21 Add '-1' to each side of the equation. 1 + -1 + 5m = 21 + -1 Combine like terms: 1 + -1 = 0 0 + 5m = 21 + -1 5m = 21 + -1 Combine like terms: 21 + -1 = 20 5m = 20 Divide each side by '5'. m = 4 Simplifying m = 4
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