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Simplifying 5(1 + -8b) + -3 = -6(1 + -7b) (1 * 5 + -8b * 5) + -3 = -6(1 + -7b) (5 + -40b) + -3 = -6(1 + -7b) Reorder the terms: 5 + -3 + -40b = -6(1 + -7b) Combine like terms: 5 + -3 = 2 2 + -40b = -6(1 + -7b) 2 + -40b = (1 * -6 + -7b * -6) 2 + -40b = (-6 + 42b) Solving 2 + -40b = -6 + 42b Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '-42b' to each side of the equation. 2 + -40b + -42b = -6 + 42b + -42b Combine like terms: -40b + -42b = -82b 2 + -82b = -6 + 42b + -42b Combine like terms: 42b + -42b = 0 2 + -82b = -6 + 0 2 + -82b = -6 Add '-2' to each side of the equation. 2 + -2 + -82b = -6 + -2 Combine like terms: 2 + -2 = 0 0 + -82b = -6 + -2 -82b = -6 + -2 Combine like terms: -6 + -2 = -8 -82b = -8 Divide each side by '-82'. b = 0.09756097561 Simplifying b = 0.09756097561
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