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Simplifying 7(7 + -1p) = 4(p + 4) (7 * 7 + -1p * 7) = 4(p + 4) (49 + -7p) = 4(p + 4) Reorder the terms: 49 + -7p = 4(4 + p) 49 + -7p = (4 * 4 + p * 4) 49 + -7p = (16 + 4p) Solving 49 + -7p = 16 + 4p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-4p' to each side of the equation. 49 + -7p + -4p = 16 + 4p + -4p Combine like terms: -7p + -4p = -11p 49 + -11p = 16 + 4p + -4p Combine like terms: 4p + -4p = 0 49 + -11p = 16 + 0 49 + -11p = 16 Add '-49' to each side of the equation. 49 + -49 + -11p = 16 + -49 Combine like terms: 49 + -49 = 0 0 + -11p = 16 + -49 -11p = 16 + -49 Combine like terms: 16 + -49 = -33 -11p = -33 Divide each side by '-11'. p = 3 Simplifying p = 3
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