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Simplifying 11(b + 4) + 9 = 9b + -11 Reorder the terms: 11(4 + b) + 9 = 9b + -11 (4 * 11 + b * 11) + 9 = 9b + -11 (44 + 11b) + 9 = 9b + -11 Reorder the terms: 44 + 9 + 11b = 9b + -11 Combine like terms: 44 + 9 = 53 53 + 11b = 9b + -11 Reorder the terms: 53 + 11b = -11 + 9b Solving 53 + 11b = -11 + 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. 53 + 11b + -9b = -11 + 9b + -9b Combine like terms: 11b + -9b = 2b 53 + 2b = -11 + 9b + -9b Combine like terms: 9b + -9b = 0 53 + 2b = -11 + 0 53 + 2b = -11 Add '-53' to each side of the equation. 53 + -53 + 2b = -11 + -53 Combine like terms: 53 + -53 = 0 0 + 2b = -11 + -53 2b = -11 + -53 Combine like terms: -11 + -53 = -64 2b = -64 Divide each side by '2'. b = -32 Simplifying b = -32
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