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Simplifying 8 = 8p + -4(p + 8) Reorder the terms: 8 = 8p + -4(8 + p) 8 = 8p + (8 * -4 + p * -4) 8 = 8p + (-32 + -4p) Reorder the terms: 8 = -32 + 8p + -4p Combine like terms: 8p + -4p = 4p 8 = -32 + 4p Solving 8 = -32 + 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. 8 + -4p = -32 + 4p + -4p Combine like terms: 4p + -4p = 0 8 + -4p = -32 + 0 8 + -4p = -32 Add '-8' to each side of the equation. 8 + -8 + -4p = -32 + -8 Combine like terms: 8 + -8 = 0 0 + -4p = -32 + -8 -4p = -32 + -8 Combine like terms: -32 + -8 = -40 -4p = -40 Divide each side by '-4'. p = 10 Simplifying p = 10
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