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Simplifying 8(4 + b) + 39b = 11b (4 * 8 + b * 8) + 39b = 11b (32 + 8b) + 39b = 11b Combine like terms: 8b + 39b = 47b 32 + 47b = 11b Solving 32 + 47b = 11b Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '-11b' to each side of the equation. 32 + 47b + -11b = 11b + -11b Combine like terms: 47b + -11b = 36b 32 + 36b = 11b + -11b Combine like terms: 11b + -11b = 0 32 + 36b = 0 Add '-32' to each side of the equation. 32 + -32 + 36b = 0 + -32 Combine like terms: 32 + -32 = 0 0 + 36b = 0 + -32 36b = 0 + -32 Combine like terms: 0 + -32 = -32 36b = -32 Divide each side by '36'. b = -0.8888888889 Simplifying b = -0.8888888889
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