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Simplifying 32 + 3p = -1(1 + -8p) + 6p 32 + 3p = (1 * -1 + -8p * -1) + 6p 32 + 3p = (-1 + 8p) + 6p Combine like terms: 8p + 6p = 14p 32 + 3p = -1 + 14p Solving 32 + 3p = -1 + 14p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-14p' to each side of the equation. 32 + 3p + -14p = -1 + 14p + -14p Combine like terms: 3p + -14p = -11p 32 + -11p = -1 + 14p + -14p Combine like terms: 14p + -14p = 0 32 + -11p = -1 + 0 32 + -11p = -1 Add '-32' to each side of the equation. 32 + -32 + -11p = -1 + -32 Combine like terms: 32 + -32 = 0 0 + -11p = -1 + -32 -11p = -1 + -32 Combine like terms: -1 + -32 = -33 -11p = -33 Divide each side by '-11'. p = 3 Simplifying p = 3
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