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Simplifying 8(1 + -4b) + -1(7b + 8) = -4b + -5b (1 * 8 + -4b * 8) + -1(7b + 8) = -4b + -5b (8 + -32b) + -1(7b + 8) = -4b + -5b Reorder the terms: 8 + -32b + -1(8 + 7b) = -4b + -5b 8 + -32b + (8 * -1 + 7b * -1) = -4b + -5b 8 + -32b + (-8 + -7b) = -4b + -5b Reorder the terms: 8 + -8 + -32b + -7b = -4b + -5b Combine like terms: 8 + -8 = 0 0 + -32b + -7b = -4b + -5b -32b + -7b = -4b + -5b Combine like terms: -32b + -7b = -39b -39b = -4b + -5b Combine like terms: -4b + -5b = -9b -39b = -9b Solving -39b = -9b Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '9b' to each side of the equation. -39b + 9b = -9b + 9b Combine like terms: -39b + 9b = -30b -30b = -9b + 9b Combine like terms: -9b + 9b = 0 -30b = 0 Divide each side by '-30'. b = 0.0 Simplifying b = 0.0
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