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Simplifying 8(1 + -4b) + -1(7b + 8) = -4b + -5 (1 * 8 + -4b * 8) + -1(7b + 8) = -4b + -5 (8 + -32b) + -1(7b + 8) = -4b + -5 Reorder the terms: 8 + -32b + -1(8 + 7b) = -4b + -5 8 + -32b + (8 * -1 + 7b * -1) = -4b + -5 8 + -32b + (-8 + -7b) = -4b + -5 Reorder the terms: 8 + -8 + -32b + -7b = -4b + -5 Combine like terms: 8 + -8 = 0 0 + -32b + -7b = -4b + -5 -32b + -7b = -4b + -5 Combine like terms: -32b + -7b = -39b -39b = -4b + -5 Reorder the terms: -39b = -5 + -4b Solving -39b = -5 + -4b Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '4b' to each side of the equation. -39b + 4b = -5 + -4b + 4b Combine like terms: -39b + 4b = -35b -35b = -5 + -4b + 4b Combine like terms: -4b + 4b = 0 -35b = -5 + 0 -35b = -5 Divide each side by '-35'. b = 0.1428571429 Simplifying b = 0.1428571429
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