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Simplifying 8p + -6(1 + -2b) = 86 8p + (1 * -6 + -2b * -6) = 86 8p + (-6 + 12b) = 86 Reorder the terms: -6 + 12b + 8p = 86 Solving -6 + 12b + 8p = 86 Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '6' to each side of the equation. -6 + 12b + 6 + 8p = 86 + 6 Reorder the terms: -6 + 6 + 12b + 8p = 86 + 6 Combine like terms: -6 + 6 = 0 0 + 12b + 8p = 86 + 6 12b + 8p = 86 + 6 Combine like terms: 86 + 6 = 92 12b + 8p = 92 Add '-8p' to each side of the equation. 12b + 8p + -8p = 92 + -8p Combine like terms: 8p + -8p = 0 12b + 0 = 92 + -8p 12b = 92 + -8p Divide each side by '12'. b = 7.666666667 + -0.6666666667p Simplifying b = 7.666666667 + -0.6666666667p
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