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Simplifying 3q + 4p + 5r + 3 * 3p + 4 * 4q + 5 * 5r = 0 Multiply 3 * 3 3q + 4p + 5r + 9p + 4 * 4q + 5 * 5r = 0 Multiply 4 * 4 3q + 4p + 5r + 9p + 16q + 5 * 5r = 0 Multiply 5 * 5 3q + 4p + 5r + 9p + 16q + 25r = 0 Reorder the terms: 4p + 9p + 3q + 16q + 5r + 25r = 0 Combine like terms: 4p + 9p = 13p 13p + 3q + 16q + 5r + 25r = 0 Combine like terms: 3q + 16q = 19q 13p + 19q + 5r + 25r = 0 Combine like terms: 5r + 25r = 30r 13p + 19q + 30r = 0 Solving 13p + 19q + 30r = 0 Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-19q' to each side of the equation. 13p + 19q + -19q + 30r = 0 + -19q Combine like terms: 19q + -19q = 0 13p + 0 + 30r = 0 + -19q 13p + 30r = 0 + -19q Remove the zero: 13p + 30r = -19q Add '-30r' to each side of the equation. 13p + 30r + -30r = -19q + -30r Combine like terms: 30r + -30r = 0 13p + 0 = -19q + -30r 13p = -19q + -30r Divide each side by '13'. p = -1.461538462q + -2.307692308r Simplifying p = -1.461538462q + -2.307692308r
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