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Simplifying 5[2p + -4(p + 5)] = 35 Reorder the terms: 5[2p + -4(5 + p)] = 35 5[2p + (5 * -4 + p * -4)] = 35 5[2p + (-20 + -4p)] = 35 Reorder the terms: 5[-20 + 2p + -4p] = 35 Combine like terms: 2p + -4p = -2p 5[-20 + -2p] = 35 [-20 * 5 + -2p * 5] = 35 [-100 + -10p] = 35 Solving -100 + -10p = 35 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 = 35 + 100 Combine like terms: -100 + 100 = 0 0 + -10p = 35 + 100 -10p = 35 + 100 Combine like terms: 35 + 100 = 135 -10p = 135 Divide each side by '-10'. p = -13.5 Simplifying p = -13.5
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