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Simplifying -11 + 10(p + 10) = 4 + -1(2p + 11) Reorder the terms: -11 + 10(10 + p) = 4 + -1(2p + 11) -11 + (10 * 10 + p * 10) = 4 + -1(2p + 11) -11 + (100 + 10p) = 4 + -1(2p + 11) Combine like terms: -11 + 100 = 89 89 + 10p = 4 + -1(2p + 11) Reorder the terms: 89 + 10p = 4 + -1(11 + 2p) 89 + 10p = 4 + (11 * -1 + 2p * -1) 89 + 10p = 4 + (-11 + -2p) Combine like terms: 4 + -11 = -7 89 + 10p = -7 + -2p Solving 89 + 10p = -7 + -2p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '2p' to each side of the equation. 89 + 10p + 2p = -7 + -2p + 2p Combine like terms: 10p + 2p = 12p 89 + 12p = -7 + -2p + 2p Combine like terms: -2p + 2p = 0 89 + 12p = -7 + 0 89 + 12p = -7 Add '-89' to each side of the equation. 89 + -89 + 12p = -7 + -89 Combine like terms: 89 + -89 = 0 0 + 12p = -7 + -89 12p = -7 + -89 Combine like terms: -7 + -89 = -96 12p = -96 Divide each side by '12'. p = -8 Simplifying p = -8
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