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Simplifying -6(1 + -6b) = -1(b + 1) + -5 (1 * -6 + -6b * -6) = -1(b + 1) + -5 (-6 + 36b) = -1(b + 1) + -5 Reorder the terms: -6 + 36b = -1(1 + b) + -5 -6 + 36b = (1 * -1 + b * -1) + -5 -6 + 36b = (-1 + -1b) + -5 Reorder the terms: -6 + 36b = -1 + -5 + -1b Combine like terms: -1 + -5 = -6 -6 + 36b = -6 + -1b Add '6' to each side of the equation. -6 + 6 + 36b = -6 + 6 + -1b Combine like terms: -6 + 6 = 0 0 + 36b = -6 + 6 + -1b 36b = -6 + 6 + -1b Combine like terms: -6 + 6 = 0 36b = 0 + -1b 36b = -1b Solving 36b = -1b Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add 'b' to each side of the equation. 36b + b = -1b + b Combine like terms: 36b + b = 37b 37b = -1b + b Combine like terms: -1b + b = 0 37b = 0 Divide each side by '37'. b = 0 Simplifying b = 0
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