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Simplifying 5(2p + -4(p + 5)) = 1 Reorder the terms: 5(2p + -4(5 + p)) = 1 5(2p + (5 * -4 + p * -4)) = 1 5(2p + (-20 + -4p)) = 1 Reorder the terms: 5(-20 + 2p + -4p) = 1 Combine like terms: 2p + -4p = -2p 5(-20 + -2p) = 1 (-20 * 5 + -2p * 5) = 1 (-100 + -10p) = 1 Solving -100 + -10p = 1 Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '100' to each side of the equation. -100 + 100 + -10p = 1 + 100 Combine like terms: -100 + 100 = 0 0 + -10p = 1 + 100 -10p = 1 + 100 Combine like terms: 1 + 100 = 101 -10p = 101 Divide each side by '-10'. p = -10.1 Simplifying p = -10.1
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