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Simplifying -7(1 + 11p) + 3p = -4 + 11(p + -8) (1 * -7 + 11p * -7) + 3p = -4 + 11(p + -8) (-7 + -77p) + 3p = -4 + 11(p + -8) Combine like terms: -77p + 3p = -74p -7 + -74p = -4 + 11(p + -8) Reorder the terms: -7 + -74p = -4 + 11(-8 + p) -7 + -74p = -4 + (-8 * 11 + p * 11) -7 + -74p = -4 + (-88 + 11p) Combine like terms: -4 + -88 = -92 -7 + -74p = -92 + 11p Solving -7 + -74p = -92 + 11p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-11p' to each side of the equation. -7 + -74p + -11p = -92 + 11p + -11p Combine like terms: -74p + -11p = -85p -7 + -85p = -92 + 11p + -11p Combine like terms: 11p + -11p = 0 -7 + -85p = -92 + 0 -7 + -85p = -92 Add '7' to each side of the equation. -7 + 7 + -85p = -92 + 7 Combine like terms: -7 + 7 = 0 0 + -85p = -92 + 7 -85p = -92 + 7 Combine like terms: -92 + 7 = -85 -85p = -85 Divide each side by '-85'. p = 1 Simplifying p = 1
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