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Simplifying -11 + (p + 10) = 4 + -5(2p + 11) Reorder the terms: -11 + (10 + p) = 4 + -5(2p + 11) Remove parenthesis around (10 + p) -11 + 10 + p = 4 + -5(2p + 11) Combine like terms: -11 + 10 = -1 -1 + p = 4 + -5(2p + 11) Reorder the terms: -1 + p = 4 + -5(11 + 2p) -1 + p = 4 + (11 * -5 + 2p * -5) -1 + p = 4 + (-55 + -10p) Combine like terms: 4 + -55 = -51 -1 + p = -51 + -10p Solving -1 + p = -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. -1 + p + 10p = -51 + -10p + 10p Combine like terms: p + 10p = 11p -1 + 11p = -51 + -10p + 10p Combine like terms: -10p + 10p = 0 -1 + 11p = -51 + 0 -1 + 11p = -51 Add '1' to each side of the equation. -1 + 1 + 11p = -51 + 1 Combine like terms: -1 + 1 = 0 0 + 11p = -51 + 1 11p = -51 + 1 Combine like terms: -51 + 1 = -50 11p = -50 Divide each side by '11'. p = -4.545454545 Simplifying p = -4.545454545
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