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Simplifying 5(p + q + r) = 0 (p * 5 + q * 5 + r * 5) = 0 (5p + 5q + 5r) = 0 Solving 5p + 5q + 5r = 0 Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-5q' to each side of the equation. 5p + 5q + -5q + 5r = 0 + -5q Combine like terms: 5q + -5q = 0 5p + 0 + 5r = 0 + -5q 5p + 5r = 0 + -5q Remove the zero: 5p + 5r = -5q Add '-5r' to each side of the equation. 5p + 5r + -5r = -5q + -5r Combine like terms: 5r + -5r = 0 5p + 0 = -5q + -5r 5p = -5q + -5r Divide each side by '5'. p = -1q + -1r Simplifying p = -1q + -1r
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