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Simplifying -9b + -5b = -3(9b + -3) + 11(b + 1) Combine like terms: -9b + -5b = -14b -14b = -3(9b + -3) + 11(b + 1) Reorder the terms: -14b = -3(-3 + 9b) + 11(b + 1) -14b = (-3 * -3 + 9b * -3) + 11(b + 1) -14b = (9 + -27b) + 11(b + 1) Reorder the terms: -14b = 9 + -27b + 11(1 + b) -14b = 9 + -27b + (1 * 11 + b * 11) -14b = 9 + -27b + (11 + 11b) Reorder the terms: -14b = 9 + 11 + -27b + 11b Combine like terms: 9 + 11 = 20 -14b = 20 + -27b + 11b Combine like terms: -27b + 11b = -16b -14b = 20 + -16b Solving -14b = 20 + -16b Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '16b' to each side of the equation. -14b + 16b = 20 + -16b + 16b Combine like terms: -14b + 16b = 2b 2b = 20 + -16b + 16b Combine like terms: -16b + 16b = 0 2b = 20 + 0 2b = 20 Divide each side by '2'. b = 10 Simplifying b = 10
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