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Simplifying -8p + -6(-5 + -8b) = -16 + -6b -8p + (-5 * -6 + -8b * -6) = -16 + -6b -8p + (30 + 48b) = -16 + -6b Reorder the terms: 30 + 48b + -8p = -16 + -6b Solving 30 + 48b + -8p = -16 + -6b Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '6b' to each side of the equation. 30 + 48b + 6b + -8p = -16 + -6b + 6b Combine like terms: 48b + 6b = 54b 30 + 54b + -8p = -16 + -6b + 6b Combine like terms: -6b + 6b = 0 30 + 54b + -8p = -16 + 0 30 + 54b + -8p = -16 Add '-30' to each side of the equation. 30 + 54b + -30 + -8p = -16 + -30 Reorder the terms: 30 + -30 + 54b + -8p = -16 + -30 Combine like terms: 30 + -30 = 0 0 + 54b + -8p = -16 + -30 54b + -8p = -16 + -30 Combine like terms: -16 + -30 = -46 54b + -8p = -46 Add '8p' to each side of the equation. 54b + -8p + 8p = -46 + 8p Combine like terms: -8p + 8p = 0 54b + 0 = -46 + 8p 54b = -46 + 8p Divide each side by '54'. b = -0.8518518519 + 0.1481481481p Simplifying b = -0.8518518519 + 0.1481481481p
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