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Simplifying -8b + -1(1 + -7b) = -1 + -3b -8b + (1 * -1 + -7b * -1) = -1 + -3b -8b + (-1 + 7b) = -1 + -3b Reorder the terms: -1 + -8b + 7b = -1 + -3b Combine like terms: -8b + 7b = -1b -1 + -1b = -1 + -3b Add '1' to each side of the equation. -1 + 1 + -1b = -1 + 1 + -3b Combine like terms: -1 + 1 = 0 0 + -1b = -1 + 1 + -3b -1b = -1 + 1 + -3b Combine like terms: -1 + 1 = 0 -1b = 0 + -3b -1b = -3b Solving -1b = -3b Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '3b' to each side of the equation. -1b + 3b = -3b + 3b Combine like terms: -1b + 3b = 2b 2b = -3b + 3b Combine like terms: -3b + 3b = 0 2b = 0 Divide each side by '2'. b = 0 Simplifying b = 0
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