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Simplifying -8(4 + 9p) = 7(-2 + -11p) (4 * -8 + 9p * -8) = 7(-2 + -11p) (-32 + -72p) = 7(-2 + -11p) -32 + -72p = (-2 * 7 + -11p * 7) -32 + -72p = (-14 + -77p) Solving -32 + -72p = -14 + -77p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '77p' to each side of the equation. -32 + -72p + 77p = -14 + -77p + 77p Combine like terms: -72p + 77p = 5p -32 + 5p = -14 + -77p + 77p Combine like terms: -77p + 77p = 0 -32 + 5p = -14 + 0 -32 + 5p = -14 Add '32' to each side of the equation. -32 + 32 + 5p = -14 + 32 Combine like terms: -32 + 32 = 0 0 + 5p = -14 + 32 5p = -14 + 32 Combine like terms: -14 + 32 = 18 5p = 18 Divide each side by '5'. p = 3.6 Simplifying p = 3.6
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