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Simplifying 11 + 10(p + 10) = 4 + -5(2p + 11) Reorder the terms: 11 + 10(10 + p) = 4 + -5(2p + 11) 11 + (10 * 10 + p * 10) = 4 + -5(2p + 11) 11 + (100 + 10p) = 4 + -5(2p + 11) Combine like terms: 11 + 100 = 111 111 + 10p = 4 + -5(2p + 11) Reorder the terms: 111 + 10p = 4 + -5(11 + 2p) 111 + 10p = 4 + (11 * -5 + 2p * -5) 111 + 10p = 4 + (-55 + -10p) Combine like terms: 4 + -55 = -51 111 + 10p = -51 + -10p Solving 111 + 10p = -51 + -10p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '10p' to each side of the equation. 111 + 10p + 10p = -51 + -10p + 10p Combine like terms: 10p + 10p = 20p 111 + 20p = -51 + -10p + 10p Combine like terms: -10p + 10p = 0 111 + 20p = -51 + 0 111 + 20p = -51 Add '-111' to each side of the equation. 111 + -111 + 20p = -51 + -111 Combine like terms: 111 + -111 = 0 0 + 20p = -51 + -111 20p = -51 + -111 Combine like terms: -51 + -111 = -162 20p = -162 Divide each side by '20'. p = -8.1 Simplifying p = -8.1
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