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Simplifying -4p + -7p + -82 = 3p + 170 Reorder the terms: -82 + -4p + -7p = 3p + 170 Combine like terms: -4p + -7p = -11p -82 + -11p = 3p + 170 Reorder the terms: -82 + -11p = 170 + 3p Solving -82 + -11p = 170 + 3p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-3p' to each side of the equation. -82 + -11p + -3p = 170 + 3p + -3p Combine like terms: -11p + -3p = -14p -82 + -14p = 170 + 3p + -3p Combine like terms: 3p + -3p = 0 -82 + -14p = 170 + 0 -82 + -14p = 170 Add '82' to each side of the equation. -82 + 82 + -14p = 170 + 82 Combine like terms: -82 + 82 = 0 0 + -14p = 170 + 82 -14p = 170 + 82 Combine like terms: 170 + 82 = 252 -14p = 252 Divide each side by '-14'. p = -18 Simplifying p = -18
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