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Simplifying (4p + 6q + -11r) + (-8p + 6q + -3r) = 0 Remove parenthesis around (4p + 6q + -11r) 4p + 6q + -11r + (-8p + 6q + -3r) = 0 Remove parenthesis around (-8p + 6q + -3r) 4p + 6q + -11r + -8p + 6q + -3r = 0 Reorder the terms: 4p + -8p + 6q + 6q + -11r + -3r = 0 Combine like terms: 4p + -8p = -4p -4p + 6q + 6q + -11r + -3r = 0 Combine like terms: 6q + 6q = 12q -4p + 12q + -11r + -3r = 0 Combine like terms: -11r + -3r = -14r -4p + 12q + -14r = 0 Solving -4p + 12q + -14r = 0 Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-12q' to each side of the equation. -4p + 12q + -12q + -14r = 0 + -12q Combine like terms: 12q + -12q = 0 -4p + 0 + -14r = 0 + -12q -4p + -14r = 0 + -12q Remove the zero: -4p + -14r = -12q Add '14r' to each side of the equation. -4p + -14r + 14r = -12q + 14r Combine like terms: -14r + 14r = 0 -4p + 0 = -12q + 14r -4p = -12q + 14r Divide each side by '-4'. p = 3q + -3.5r Simplifying p = 3q + -3.5r
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