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Simplifying 11(1 + -2p) + -5 = 2(1 + -11p) + -1p (1 * 11 + -2p * 11) + -5 = 2(1 + -11p) + -1p (11 + -22p) + -5 = 2(1 + -11p) + -1p Reorder the terms: 11 + -5 + -22p = 2(1 + -11p) + -1p Combine like terms: 11 + -5 = 6 6 + -22p = 2(1 + -11p) + -1p 6 + -22p = (1 * 2 + -11p * 2) + -1p 6 + -22p = (2 + -22p) + -1p Combine like terms: -22p + -1p = -23p 6 + -22p = 2 + -23p Solving 6 + -22p = 2 + -23p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '23p' to each side of the equation. 6 + -22p + 23p = 2 + -23p + 23p Combine like terms: -22p + 23p = 1p 6 + 1p = 2 + -23p + 23p Combine like terms: -23p + 23p = 0 6 + 1p = 2 + 0 6 + 1p = 2 Add '-6' to each side of the equation. 6 + -6 + 1p = 2 + -6 Combine like terms: 6 + -6 = 0 0 + 1p = 2 + -6 1p = 2 + -6 Combine like terms: 2 + -6 = -4 1p = -4 Divide each side by '1'. p = -4 Simplifying p = -4
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