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Simplifying 32 + -4p = -4(1 + -8p) 32 + -4p = (1 * -4 + -8p * -4) 32 + -4p = (-4 + 32p) Solving 32 + -4p = -4 + 32p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-32p' to each side of the equation. 32 + -4p + -32p = -4 + 32p + -32p Combine like terms: -4p + -32p = -36p 32 + -36p = -4 + 32p + -32p Combine like terms: 32p + -32p = 0 32 + -36p = -4 + 0 32 + -36p = -4 Add '-32' to each side of the equation. 32 + -32 + -36p = -4 + -32 Combine like terms: 32 + -32 = 0 0 + -36p = -4 + -32 -36p = -4 + -32 Combine like terms: -4 + -32 = -36 -36p = -36 Divide each side by '-36'. p = 1 Simplifying p = 1
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