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Simplifying 6 + 8(1 + -5b) = -17 6 + (1 * 8 + -5b * 8) = -17 6 + (8 + -40b) = -17 Combine like terms: 6 + 8 = 14 14 + -40b = -17 Solving 14 + -40b = -17 Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '-14' to each side of the equation. 14 + -14 + -40b = -17 + -14 Combine like terms: 14 + -14 = 0 0 + -40b = -17 + -14 -40b = -17 + -14 Combine like terms: -17 + -14 = -31 -40b = -31 Divide each side by '-40'. b = 0.775 Simplifying b = 0.775
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