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Simplifying 8(1 + 2m) = 38 + m (1 * 8 + 2m * 8) = 38 + m (8 + 16m) = 38 + m Solving 8 + 16m = 38 + m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '-1m' to each side of the equation. 8 + 16m + -1m = 38 + m + -1m Combine like terms: 16m + -1m = 15m 8 + 15m = 38 + m + -1m Combine like terms: m + -1m = 0 8 + 15m = 38 + 0 8 + 15m = 38 Add '-8' to each side of the equation. 8 + -8 + 15m = 38 + -8 Combine like terms: 8 + -8 = 0 0 + 15m = 38 + -8 15m = 38 + -8 Combine like terms: 38 + -8 = 30 15m = 30 Divide each side by '15'. m = 2 Simplifying m = 2
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