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Simplifying (4p + -4q + 8r) + -2(-4p + 8q + -6r) = 0 Remove parenthesis around (4p + -4q + 8r) 4p + -4q + 8r + -2(-4p + 8q + -6r) = 0 4p + -4q + 8r + (-4p * -2 + 8q * -2 + -6r * -2) = 0 4p + -4q + 8r + (8p + -16q + 12r) = 0 Reorder the terms: 4p + 8p + -4q + -16q + 8r + 12r = 0 Combine like terms: 4p + 8p = 12p 12p + -4q + -16q + 8r + 12r = 0 Combine like terms: -4q + -16q = -20q 12p + -20q + 8r + 12r = 0 Combine like terms: 8r + 12r = 20r 12p + -20q + 20r = 0 Solving 12p + -20q + 20r = 0 Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '20q' to each side of the equation. 12p + -20q + 20q + 20r = 0 + 20q Combine like terms: -20q + 20q = 0 12p + 0 + 20r = 0 + 20q 12p + 20r = 0 + 20q Remove the zero: 12p + 20r = 20q Add '-20r' to each side of the equation. 12p + 20r + -20r = 20q + -20r Combine like terms: 20r + -20r = 0 12p + 0 = 20q + -20r 12p = 20q + -20r Divide each side by '12'. p = 1.666666667q + -1.666666667r Simplifying p = 1.666666667q + -1.666666667r
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