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Simplifying (5 + -1b) + (8 + -6b) + (b + -7) = 36 Remove parenthesis around (5 + -1b) 5 + -1b + (8 + -6b) + (b + -7) = 36 Remove parenthesis around (8 + -6b) 5 + -1b + 8 + -6b + (b + -7) = 36 Reorder the terms: 5 + -1b + 8 + -6b + (-7 + b) = 36 Remove parenthesis around (-7 + b) 5 + -1b + 8 + -6b + -7 + b = 36 Reorder the terms: 5 + 8 + -7 + -1b + -6b + b = 36 Combine like terms: 5 + 8 = 13 13 + -7 + -1b + -6b + b = 36 Combine like terms: 13 + -7 = 6 6 + -1b + -6b + b = 36 Combine like terms: -1b + -6b = -7b 6 + -7b + b = 36 Combine like terms: -7b + b = -6b 6 + -6b = 36 Solving 6 + -6b = 36 Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '-6' to each side of the equation. 6 + -6 + -6b = 36 + -6 Combine like terms: 6 + -6 = 0 0 + -6b = 36 + -6 -6b = 36 + -6 Combine like terms: 36 + -6 = 30 -6b = 30 Divide each side by '-6'. b = -5 Simplifying b = -5
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