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Simplifying 5 + -8(4p + 7) = 173 Reorder the terms: 5 + -8(7 + 4p) = 173 5 + (7 * -8 + 4p * -8) = 173 5 + (-56 + -32p) = 173 Combine like terms: 5 + -56 = -51 -51 + -32p = 173 Solving -51 + -32p = 173 Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '51' to each side of the equation. -51 + 51 + -32p = 173 + 51 Combine like terms: -51 + 51 = 0 0 + -32p = 173 + 51 -32p = 173 + 51 Combine like terms: 173 + 51 = 224 -32p = 224 Divide each side by '-32'. p = -7 Simplifying p = -7
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