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Simplifying -6b + 6 + 5 = 5(1 + -8b) + 4(8b + 5) Reorder the terms: 6 + 5 + -6b = 5(1 + -8b) + 4(8b + 5) Combine like terms: 6 + 5 = 11 11 + -6b = 5(1 + -8b) + 4(8b + 5) 11 + -6b = (1 * 5 + -8b * 5) + 4(8b + 5) 11 + -6b = (5 + -40b) + 4(8b + 5) Reorder the terms: 11 + -6b = 5 + -40b + 4(5 + 8b) 11 + -6b = 5 + -40b + (5 * 4 + 8b * 4) 11 + -6b = 5 + -40b + (20 + 32b) Reorder the terms: 11 + -6b = 5 + 20 + -40b + 32b Combine like terms: 5 + 20 = 25 11 + -6b = 25 + -40b + 32b Combine like terms: -40b + 32b = -8b 11 + -6b = 25 + -8b Solving 11 + -6b = 25 + -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. 11 + -6b + 8b = 25 + -8b + 8b Combine like terms: -6b + 8b = 2b 11 + 2b = 25 + -8b + 8b Combine like terms: -8b + 8b = 0 11 + 2b = 25 + 0 11 + 2b = 25 Add '-11' to each side of the equation. 11 + -11 + 2b = 25 + -11 Combine like terms: 11 + -11 = 0 0 + 2b = 25 + -11 2b = 25 + -11 Combine like terms: 25 + -11 = 14 2b = 14 Divide each side by '2'. b = 7 Simplifying b = 7
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