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Simplifying 8(1 + 3b) = 40 + 8b (1 * 8 + 3b * 8) = 40 + 8b (8 + 24b) = 40 + 8b Solving 8 + 24b = 40 + 8b Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '-8b' to each side of the equation. 8 + 24b + -8b = 40 + 8b + -8b Combine like terms: 24b + -8b = 16b 8 + 16b = 40 + 8b + -8b Combine like terms: 8b + -8b = 0 8 + 16b = 40 + 0 8 + 16b = 40 Add '-8' to each side of the equation. 8 + -8 + 16b = 40 + -8 Combine like terms: 8 + -8 = 0 0 + 16b = 40 + -8 16b = 40 + -8 Combine like terms: 40 + -8 = 32 16b = 32 Divide each side by '16'. b = 2 Simplifying b = 2
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