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Simplifying -1b + 6(5b + 1) = -36 + 8b Reorder the terms: -1b + 6(1 + 5b) = -36 + 8b -1b + (1 * 6 + 5b * 6) = -36 + 8b -1b + (6 + 30b) = -36 + 8b Reorder the terms: 6 + -1b + 30b = -36 + 8b Combine like terms: -1b + 30b = 29b 6 + 29b = -36 + 8b Solving 6 + 29b = -36 + 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. 6 + 29b + -8b = -36 + 8b + -8b Combine like terms: 29b + -8b = 21b 6 + 21b = -36 + 8b + -8b Combine like terms: 8b + -8b = 0 6 + 21b = -36 + 0 6 + 21b = -36 Add '-6' to each side of the equation. 6 + -6 + 21b = -36 + -6 Combine like terms: 6 + -6 = 0 0 + 21b = -36 + -6 21b = -36 + -6 Combine like terms: -36 + -6 = -42 21b = -42 Divide each side by '21'. b = -2 Simplifying b = -2
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