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Simplifying 4p + -2q + -1r + p + -3q + -2r = 0 Reorder the terms: 4p + p + -2q + -3q + -1r + -2r = 0 Combine like terms: 4p + p = 5p 5p + -2q + -3q + -1r + -2r = 0 Combine like terms: -2q + -3q = -5q 5p + -5q + -1r + -2r = 0 Combine like terms: -1r + -2r = -3r 5p + -5q + -3r = 0 Solving 5p + -5q + -3r = 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 + -3r = 0 + 5q Combine like terms: -5q + 5q = 0 5p + 0 + -3r = 0 + 5q 5p + -3r = 0 + 5q Remove the zero: 5p + -3r = 5q Add '3r' to each side of the equation. 5p + -3r + 3r = 5q + 3r Combine like terms: -3r + 3r = 0 5p + 0 = 5q + 3r 5p = 5q + 3r Divide each side by '5'. p = q + 0.6r Simplifying p = q + 0.6r
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