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Simplifying -6 + -2(8p + 5) = 17 + -5p Reorder the terms: -6 + -2(5 + 8p) = 17 + -5p -6 + (5 * -2 + 8p * -2) = 17 + -5p -6 + (-10 + -16p) = 17 + -5p Combine like terms: -6 + -10 = -16 -16 + -16p = 17 + -5p Solving -16 + -16p = 17 + -5p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '5p' to each side of the equation. -16 + -16p + 5p = 17 + -5p + 5p Combine like terms: -16p + 5p = -11p -16 + -11p = 17 + -5p + 5p Combine like terms: -5p + 5p = 0 -16 + -11p = 17 + 0 -16 + -11p = 17 Add '16' to each side of the equation. -16 + 16 + -11p = 17 + 16 Combine like terms: -16 + 16 = 0 0 + -11p = 17 + 16 -11p = 17 + 16 Combine like terms: 17 + 16 = 33 -11p = 33 Divide each side by '-11'. p = -3 Simplifying p = -3
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