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Simplifying -4(8 + p) = -17 + -7p (8 * -4 + p * -4) = -17 + -7p (-32 + -4p) = -17 + -7p Solving -32 + -4p = -17 + -7p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '7p' to each side of the equation. -32 + -4p + 7p = -17 + -7p + 7p Combine like terms: -4p + 7p = 3p -32 + 3p = -17 + -7p + 7p Combine like terms: -7p + 7p = 0 -32 + 3p = -17 + 0 -32 + 3p = -17 Add '32' to each side of the equation. -32 + 32 + 3p = -17 + 32 Combine like terms: -32 + 32 = 0 0 + 3p = -17 + 32 3p = -17 + 32 Combine like terms: -17 + 32 = 15 3p = 15 Divide each side by '3'. p = 5 Simplifying p = 5
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