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Simplifying -11 + 10(p + 16) = 4 + -5(2p + 11) Reorder the terms: -11 + 10(16 + p) = 4 + -5(2p + 11) -11 + (16 * 10 + p * 10) = 4 + -5(2p + 11) -11 + (160 + 10p) = 4 + -5(2p + 11) Combine like terms: -11 + 160 = 149 149 + 10p = 4 + -5(2p + 11) Reorder the terms: 149 + 10p = 4 + -5(11 + 2p) 149 + 10p = 4 + (11 * -5 + 2p * -5) 149 + 10p = 4 + (-55 + -10p) Combine like terms: 4 + -55 = -51 149 + 10p = -51 + -10p Solving 149 + 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. 149 + 10p + 10p = -51 + -10p + 10p Combine like terms: 10p + 10p = 20p 149 + 20p = -51 + -10p + 10p Combine like terms: -10p + 10p = 0 149 + 20p = -51 + 0 149 + 20p = -51 Add '-149' to each side of the equation. 149 + -149 + 20p = -51 + -149 Combine like terms: 149 + -149 = 0 0 + 20p = -51 + -149 20p = -51 + -149 Combine like terms: -51 + -149 = -200 20p = -200 Divide each side by '20'. p = -10 Simplifying p = -10
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