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Simplifying 5(4p + -1) = -17 + 8p Reorder the terms: 5(-1 + 4p) = -17 + 8p (-1 * 5 + 4p * 5) = -17 + 8p (-5 + 20p) = -17 + 8p Solving -5 + 20p = -17 + 8p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-8p' to each side of the equation. -5 + 20p + -8p = -17 + 8p + -8p Combine like terms: 20p + -8p = 12p -5 + 12p = -17 + 8p + -8p Combine like terms: 8p + -8p = 0 -5 + 12p = -17 + 0 -5 + 12p = -17 Add '5' to each side of the equation. -5 + 5 + 12p = -17 + 5 Combine like terms: -5 + 5 = 0 0 + 12p = -17 + 5 12p = -17 + 5 Combine like terms: -17 + 5 = -12 12p = -12 Divide each side by '12'. p = -1 Simplifying p = -1
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