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Simplifying 4 + 4(8 + 8p) = 4(p + -5) 4 + (8 * 4 + 8p * 4) = 4(p + -5) 4 + (32 + 32p) = 4(p + -5) Combine like terms: 4 + 32 = 36 36 + 32p = 4(p + -5) Reorder the terms: 36 + 32p = 4(-5 + p) 36 + 32p = (-5 * 4 + p * 4) 36 + 32p = (-20 + 4p) Solving 36 + 32p = -20 + 4p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-4p' to each side of the equation. 36 + 32p + -4p = -20 + 4p + -4p Combine like terms: 32p + -4p = 28p 36 + 28p = -20 + 4p + -4p Combine like terms: 4p + -4p = 0 36 + 28p = -20 + 0 36 + 28p = -20 Add '-36' to each side of the equation. 36 + -36 + 28p = -20 + -36 Combine like terms: 36 + -36 = 0 0 + 28p = -20 + -36 28p = -20 + -36 Combine like terms: -20 + -36 = -56 28p = -56 Divide each side by '28'. p = -2 Simplifying p = -2
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