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Simplifying 3(p + 2q + 3r) = 0 (p * 3 + 2q * 3 + 3r * 3) = 0 (3p + 6q + 9r) = 0 Solving 3p + 6q + 9r = 0 Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-6q' to each side of the equation. 3p + 6q + -6q + 9r = 0 + -6q Combine like terms: 6q + -6q = 0 3p + 0 + 9r = 0 + -6q 3p + 9r = 0 + -6q Remove the zero: 3p + 9r = -6q Add '-9r' to each side of the equation. 3p + 9r + -9r = -6q + -9r Combine like terms: 9r + -9r = 0 3p + 0 = -6q + -9r 3p = -6q + -9r Divide each side by '3'. p = -2q + -3r Simplifying p = -2q + -3r
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