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Simplifying -11 + 10(p + 10) = -5(2p + 11) Reorder the terms: -11 + 10(10 + p) = -5(2p + 11) -11 + (10 * 10 + p * 10) = -5(2p + 11) -11 + (100 + 10p) = -5(2p + 11) Combine like terms: -11 + 100 = 89 89 + 10p = -5(2p + 11) Reorder the terms: 89 + 10p = -5(11 + 2p) 89 + 10p = (11 * -5 + 2p * -5) 89 + 10p = (-55 + -10p) Solving 89 + 10p = -55 + -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. 89 + 10p + 10p = -55 + -10p + 10p Combine like terms: 10p + 10p = 20p 89 + 20p = -55 + -10p + 10p Combine like terms: -10p + 10p = 0 89 + 20p = -55 + 0 89 + 20p = -55 Add '-89' to each side of the equation. 89 + -89 + 20p = -55 + -89 Combine like terms: 89 + -89 = 0 0 + 20p = -55 + -89 20p = -55 + -89 Combine like terms: -55 + -89 = -144 20p = -144 Divide each side by '20'. p = -7.2 Simplifying p = -7.2
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