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Simplifying 5(1 + 3b) = 43 + 9b (1 * 5 + 3b * 5) = 43 + 9b (5 + 15b) = 43 + 9b Solving 5 + 15b = 43 + 9b Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '-9b' to each side of the equation. 5 + 15b + -9b = 43 + 9b + -9b Combine like terms: 15b + -9b = 6b 5 + 6b = 43 + 9b + -9b Combine like terms: 9b + -9b = 0 5 + 6b = 43 + 0 5 + 6b = 43 Add '-5' to each side of the equation. 5 + -5 + 6b = 43 + -5 Combine like terms: 5 + -5 = 0 0 + 6b = 43 + -5 6b = 43 + -5 Combine like terms: 43 + -5 = 38 6b = 38 Divide each side by '6'. b = 6.333333333 Simplifying b = 6.333333333
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