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Simplifying -8b + 1 = 3b + 6(3b + 5) Reorder the terms: 1 + -8b = 3b + 6(3b + 5) Reorder the terms: 1 + -8b = 3b + 6(5 + 3b) 1 + -8b = 3b + (5 * 6 + 3b * 6) 1 + -8b = 3b + (30 + 18b) Reorder the terms: 1 + -8b = 30 + 3b + 18b Combine like terms: 3b + 18b = 21b 1 + -8b = 30 + 21b Solving 1 + -8b = 30 + 21b Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '-21b' to each side of the equation. 1 + -8b + -21b = 30 + 21b + -21b Combine like terms: -8b + -21b = -29b 1 + -29b = 30 + 21b + -21b Combine like terms: 21b + -21b = 0 1 + -29b = 30 + 0 1 + -29b = 30 Add '-1' to each side of the equation. 1 + -1 + -29b = 30 + -1 Combine like terms: 1 + -1 = 0 0 + -29b = 30 + -1 -29b = 30 + -1 Combine like terms: 30 + -1 = 29 -29b = 29 Divide each side by '-29'. b = -1 Simplifying b = -1
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