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Simplifying 8(8p + 4) + -8p = -27 + -3p Reorder the terms: 8(4 + 8p) + -8p = -27 + -3p (4 * 8 + 8p * 8) + -8p = -27 + -3p (32 + 64p) + -8p = -27 + -3p Combine like terms: 64p + -8p = 56p 32 + 56p = -27 + -3p Solving 32 + 56p = -27 + -3p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '3p' to each side of the equation. 32 + 56p + 3p = -27 + -3p + 3p Combine like terms: 56p + 3p = 59p 32 + 59p = -27 + -3p + 3p Combine like terms: -3p + 3p = 0 32 + 59p = -27 + 0 32 + 59p = -27 Add '-32' to each side of the equation. 32 + -32 + 59p = -27 + -32 Combine like terms: 32 + -32 = 0 0 + 59p = -27 + -32 59p = -27 + -32 Combine like terms: -27 + -32 = -59 59p = -59 Divide each side by '59'. p = -1 Simplifying p = -1
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