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Simplifying -8 + -8(-1 + 4b) = 1 + -5(6b + 5) -8 + (-1 * -8 + 4b * -8) = 1 + -5(6b + 5) -8 + (8 + -32b) = 1 + -5(6b + 5) Combine like terms: -8 + 8 = 0 0 + -32b = 1 + -5(6b + 5) -32b = 1 + -5(6b + 5) Reorder the terms: -32b = 1 + -5(5 + 6b) -32b = 1 + (5 * -5 + 6b * -5) -32b = 1 + (-25 + -30b) Combine like terms: 1 + -25 = -24 -32b = -24 + -30b Solving -32b = -24 + -30b Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '30b' to each side of the equation. -32b + 30b = -24 + -30b + 30b Combine like terms: -32b + 30b = -2b -2b = -24 + -30b + 30b Combine like terms: -30b + 30b = 0 -2b = -24 + 0 -2b = -24 Divide each side by '-2'. b = 12 Simplifying b = 12
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