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Simplifying -4(p + 7) + -7p = -83 Reorder the terms: -4(7 + p) + -7p = -83 (7 * -4 + p * -4) + -7p = -83 (-28 + -4p) + -7p = -83 Combine like terms: -4p + -7p = -11p -28 + -11p = -83 Solving -28 + -11p = -83 Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '28' to each side of the equation. -28 + 28 + -11p = -83 + 28 Combine like terms: -28 + 28 = 0 0 + -11p = -83 + 28 -11p = -83 + 28 Combine like terms: -83 + 28 = -55 -11p = -55 Divide each side by '-11'. p = 5 Simplifying p = 5
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