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Simplifying -4(8p + -11) = 4(1 + -6p) Reorder the terms: -4(-11 + 8p) = 4(1 + -6p) (-11 * -4 + 8p * -4) = 4(1 + -6p) (44 + -32p) = 4(1 + -6p) 44 + -32p = (1 * 4 + -6p * 4) 44 + -32p = (4 + -24p) Solving 44 + -32p = 4 + -24p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '24p' to each side of the equation. 44 + -32p + 24p = 4 + -24p + 24p Combine like terms: -32p + 24p = -8p 44 + -8p = 4 + -24p + 24p Combine like terms: -24p + 24p = 0 44 + -8p = 4 + 0 44 + -8p = 4 Add '-44' to each side of the equation. 44 + -44 + -8p = 4 + -44 Combine like terms: 44 + -44 = 0 0 + -8p = 4 + -44 -8p = 4 + -44 Combine like terms: 4 + -44 = -40 -8p = -40 Divide each side by '-8'. p = 5 Simplifying p = 5
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