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Simplifying 5(2p + -5) = 11 + -2p Reorder the terms: 5(-5 + 2p) = 11 + -2p (-5 * 5 + 2p * 5) = 11 + -2p (-25 + 10p) = 11 + -2p Solving -25 + 10p = 11 + -2p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '2p' to each side of the equation. -25 + 10p + 2p = 11 + -2p + 2p Combine like terms: 10p + 2p = 12p -25 + 12p = 11 + -2p + 2p Combine like terms: -2p + 2p = 0 -25 + 12p = 11 + 0 -25 + 12p = 11 Add '25' to each side of the equation. -25 + 25 + 12p = 11 + 25 Combine like terms: -25 + 25 = 0 0 + 12p = 11 + 25 12p = 11 + 25 Combine like terms: 11 + 25 = 36 12p = 36 Divide each side by '12'. p = 3 Simplifying p = 3
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