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Simplifying -1(7p + 3) + -5 = 7 + 4p Reorder the terms: -1(3 + 7p) + -5 = 7 + 4p (3 * -1 + 7p * -1) + -5 = 7 + 4p (-3 + -7p) + -5 = 7 + 4p Reorder the terms: -3 + -5 + -7p = 7 + 4p Combine like terms: -3 + -5 = -8 -8 + -7p = 7 + 4p Solving -8 + -7p = 7 + 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. -8 + -7p + -4p = 7 + 4p + -4p Combine like terms: -7p + -4p = -11p -8 + -11p = 7 + 4p + -4p Combine like terms: 4p + -4p = 0 -8 + -11p = 7 + 0 -8 + -11p = 7 Add '8' to each side of the equation. -8 + 8 + -11p = 7 + 8 Combine like terms: -8 + 8 = 0 0 + -11p = 7 + 8 -11p = 7 + 8 Combine like terms: 7 + 8 = 15 -11p = 15 Divide each side by '-11'. p = -1.363636364 Simplifying p = -1.363636364
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