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Simplifying -11 + 10[p + 10] = 4 + -5[2p + 11] Reorder the terms: -11 + 10[10 + p] = 4 + -5[2p + 11] -11 + [10 * 10 + p * 10] = 4 + -5[2p + 11] -11 + [100 + 10p] = 4 + -5[2p + 11] Combine like terms: -11 + 100 = 89 89 + 10p = 4 + -5[2p + 11] Reorder the terms: 89 + 10p = 4 + -5[11 + 2p] 89 + 10p = 4 + [11 * -5 + 2p * -5] 89 + 10p = 4 + [-55 + -10p] Combine like terms: 4 + -55 = -51 89 + 10p = -51 + -10p Solving 89 + 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. 89 + 10p + 10p = -51 + -10p + 10p Combine like terms: 10p + 10p = 20p 89 + 20p = -51 + -10p + 10p Combine like terms: -10p + 10p = 0 89 + 20p = -51 + 0 89 + 20p = -51 Add '-89' to each side of the equation. 89 + -89 + 20p = -51 + -89 Combine like terms: 89 + -89 = 0 0 + 20p = -51 + -89 20p = -51 + -89 Combine like terms: -51 + -89 = -140 20p = -140 Divide each side by '20'. p = -7 Simplifying p = -7
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