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Simplifying 10(p + 10) = 4 + -5(2p + 11) Reorder the terms: 10(10 + p) = 4 + -5(2p + 11) (10 * 10 + p * 10) = 4 + -5(2p + 11) (100 + 10p) = 4 + -5(2p + 11) Reorder the terms: 100 + 10p = 4 + -5(11 + 2p) 100 + 10p = 4 + (11 * -5 + 2p * -5) 100 + 10p = 4 + (-55 + -10p) Combine like terms: 4 + -55 = -51 100 + 10p = -51 + -10p Solving 100 + 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. 100 + 10p + 10p = -51 + -10p + 10p Combine like terms: 10p + 10p = 20p 100 + 20p = -51 + -10p + 10p Combine like terms: -10p + 10p = 0 100 + 20p = -51 + 0 100 + 20p = -51 Add '-100' to each side of the equation. 100 + -100 + 20p = -51 + -100 Combine like terms: 100 + -100 = 0 0 + 20p = -51 + -100 20p = -51 + -100 Combine like terms: -51 + -100 = -151 20p = -151 Divide each side by '20'. p = -7.55 Simplifying p = -7.55
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