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Simplifying 11 + 10(p + 10) = (2p + 11) Reorder the terms: 11 + 10(10 + p) = (2p + 11) 11 + (10 * 10 + p * 10) = (2p + 11) 11 + (100 + 10p) = (2p + 11) Combine like terms: 11 + 100 = 111 111 + 10p = (2p + 11) Reorder the terms: 111 + 10p = (11 + 2p) Remove parenthesis around (11 + 2p) 111 + 10p = 11 + 2p Solving 111 + 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. 111 + 10p + -2p = 11 + 2p + -2p Combine like terms: 10p + -2p = 8p 111 + 8p = 11 + 2p + -2p Combine like terms: 2p + -2p = 0 111 + 8p = 11 + 0 111 + 8p = 11 Add '-111' to each side of the equation. 111 + -111 + 8p = 11 + -111 Combine like terms: 111 + -111 = 0 0 + 8p = 11 + -111 8p = 11 + -111 Combine like terms: 11 + -111 = -100 8p = -100 Divide each side by '8'. p = -12.5 Simplifying p = -12.5
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