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Simplifying -6(b + -5) + -1 = 8b + -1(1 + -1b) Reorder the terms: -6(-5 + b) + -1 = 8b + -1(1 + -1b) (-5 * -6 + b * -6) + -1 = 8b + -1(1 + -1b) (30 + -6b) + -1 = 8b + -1(1 + -1b) Reorder the terms: 30 + -1 + -6b = 8b + -1(1 + -1b) Combine like terms: 30 + -1 = 29 29 + -6b = 8b + -1(1 + -1b) 29 + -6b = 8b + (1 * -1 + -1b * -1) 29 + -6b = 8b + (-1 + 1b) Reorder the terms: 29 + -6b = -1 + 8b + 1b Combine like terms: 8b + 1b = 9b 29 + -6b = -1 + 9b Solving 29 + -6b = -1 + 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. 29 + -6b + -9b = -1 + 9b + -9b Combine like terms: -6b + -9b = -15b 29 + -15b = -1 + 9b + -9b Combine like terms: 9b + -9b = 0 29 + -15b = -1 + 0 29 + -15b = -1 Add '-29' to each side of the equation. 29 + -29 + -15b = -1 + -29 Combine like terms: 29 + -29 = 0 0 + -15b = -1 + -29 -15b = -1 + -29 Combine like terms: -1 + -29 = -30 -15b = -30 Divide each side by '-15'. b = 2 Simplifying b = 2
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