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Simplifying -12 + 10(p + 10) = 3 + -5(2p + 11) Reorder the terms: -12 + 10(10 + p) = 3 + -5(2p + 11) -12 + (10 * 10 + p * 10) = 3 + -5(2p + 11) -12 + (100 + 10p) = 3 + -5(2p + 11) Combine like terms: -12 + 100 = 88 88 + 10p = 3 + -5(2p + 11) Reorder the terms: 88 + 10p = 3 + -5(11 + 2p) 88 + 10p = 3 + (11 * -5 + 2p * -5) 88 + 10p = 3 + (-55 + -10p) Combine like terms: 3 + -55 = -52 88 + 10p = -52 + -10p Solving 88 + 10p = -52 + -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. 88 + 10p + 10p = -52 + -10p + 10p Combine like terms: 10p + 10p = 20p 88 + 20p = -52 + -10p + 10p Combine like terms: -10p + 10p = 0 88 + 20p = -52 + 0 88 + 20p = -52 Add '-88' to each side of the equation. 88 + -88 + 20p = -52 + -88 Combine like terms: 88 + -88 = 0 0 + 20p = -52 + -88 20p = -52 + -88 Combine like terms: -52 + -88 = -140 20p = -140 Divide each side by '20'. p = -7 Simplifying p = -7
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