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Simplifying 4 = -11 + 10(p + 10) + 5(2p + 11) Reorder the terms: 4 = -11 + 10(10 + p) + 5(2p + 11) 4 = -11 + (10 * 10 + p * 10) + 5(2p + 11) 4 = -11 + (100 + 10p) + 5(2p + 11) Reorder the terms: 4 = -11 + 100 + 10p + 5(11 + 2p) 4 = -11 + 100 + 10p + (11 * 5 + 2p * 5) 4 = -11 + 100 + 10p + (55 + 10p) Reorder the terms: 4 = -11 + 100 + 55 + 10p + 10p Combine like terms: -11 + 100 = 89 4 = 89 + 55 + 10p + 10p Combine like terms: 89 + 55 = 144 4 = 144 + 10p + 10p Combine like terms: 10p + 10p = 20p 4 = 144 + 20p Solving 4 = 144 + 20p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-20p' to each side of the equation. 4 + -20p = 144 + 20p + -20p Combine like terms: 20p + -20p = 0 4 + -20p = 144 + 0 4 + -20p = 144 Add '-4' to each side of the equation. 4 + -4 + -20p = 144 + -4 Combine like terms: 4 + -4 = 0 0 + -20p = 144 + -4 -20p = 144 + -4 Combine like terms: 144 + -4 = 140 -20p = 140 Divide each side by '-20'. p = -7 Simplifying p = -7
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