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Simplifying 4p + 6q + -2(4p + -7q + 9r) = 0 4p + 6q + (4p * -2 + -7q * -2 + 9r * -2) = 0 4p + 6q + (-8p + 14q + -18r) = 0 Reorder the terms: 4p + -8p + 6q + 14q + -18r = 0 Combine like terms: 4p + -8p = -4p -4p + 6q + 14q + -18r = 0 Combine like terms: 6q + 14q = 20q -4p + 20q + -18r = 0 Solving -4p + 20q + -18r = 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. -4p + 20q + -20q + -18r = 0 + -20q Combine like terms: 20q + -20q = 0 -4p + 0 + -18r = 0 + -20q -4p + -18r = 0 + -20q Remove the zero: -4p + -18r = -20q Add '18r' to each side of the equation. -4p + -18r + 18r = -20q + 18r Combine like terms: -18r + 18r = 0 -4p + 0 = -20q + 18r -4p = -20q + 18r Divide each side by '-4'. p = 5q + -4.5r Simplifying p = 5q + -4.5r
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