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Simplifying 5 + 8(-4p + 5) = -51 Reorder the terms: 5 + 8(5 + -4p) = -51 5 + (5 * 8 + -4p * 8) = -51 5 + (40 + -32p) = -51 Combine like terms: 5 + 40 = 45 45 + -32p = -51 Solving 45 + -32p = -51 Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-45' to each side of the equation. 45 + -45 + -32p = -51 + -45 Combine like terms: 45 + -45 = 0 0 + -32p = -51 + -45 -32p = -51 + -45 Combine like terms: -51 + -45 = -96 -32p = -96 Divide each side by '-32'. p = 3 Simplifying p = 3
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