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Simplifying 11(2p + 7) = 15(p + -4) Reorder the terms: 11(7 + 2p) = 15(p + -4) (7 * 11 + 2p * 11) = 15(p + -4) (77 + 22p) = 15(p + -4) Reorder the terms: 77 + 22p = 15(-4 + p) 77 + 22p = (-4 * 15 + p * 15) 77 + 22p = (-60 + 15p) Solving 77 + 22p = -60 + 15p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-15p' to each side of the equation. 77 + 22p + -15p = -60 + 15p + -15p Combine like terms: 22p + -15p = 7p 77 + 7p = -60 + 15p + -15p Combine like terms: 15p + -15p = 0 77 + 7p = -60 + 0 77 + 7p = -60 Add '-77' to each side of the equation. 77 + -77 + 7p = -60 + -77 Combine like terms: 77 + -77 = 0 0 + 7p = -60 + -77 7p = -60 + -77 Combine like terms: -60 + -77 = -137 7p = -137 Divide each side by '7'. p = -19.57142857 Simplifying p = -19.57142857
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