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Simplifying -101 = -7p + -4(6 + p) -101 = -7p + (6 * -4 + p * -4) -101 = -7p + (-24 + -4p) Reorder the terms: -101 = -24 + -7p + -4p Combine like terms: -7p + -4p = -11p -101 = -24 + -11p Solving -101 = -24 + -11p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '11p' to each side of the equation. -101 + 11p = -24 + -11p + 11p Combine like terms: -11p + 11p = 0 -101 + 11p = -24 + 0 -101 + 11p = -24 Add '101' to each side of the equation. -101 + 101 + 11p = -24 + 101 Combine like terms: -101 + 101 = 0 0 + 11p = -24 + 101 11p = -24 + 101 Combine like terms: -24 + 101 = 77 11p = 77 Divide each side by '11'. p = 7 Simplifying p = 7
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