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Simplifying -7p + -4(p + 7) = -105 Reorder the terms: -7p + -4(7 + p) = -105 -7p + (7 * -4 + p * -4) = -105 -7p + (-28 + -4p) = -105 Reorder the terms: -28 + -7p + -4p = -105 Combine like terms: -7p + -4p = -11p -28 + -11p = -105 Solving -28 + -11p = -105 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 = -105 + 28 Combine like terms: -28 + 28 = 0 0 + -11p = -105 + 28 -11p = -105 + 28 Combine like terms: -105 + 28 = -77 -11p = -77 Divide each side by '-11'. p = 7 Simplifying p = 7
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