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Simplifying P + q + -3p + 4q + 5r + -1r = 0 Reorder the terms: P + -3p + q + 4q + 5r + -1r = 0 Combine like terms: q + 4q = 5q P + -3p + 5q + 5r + -1r = 0 Combine like terms: 5r + -1r = 4r P + -3p + 5q + 4r = 0 Solving P + -3p + 5q + 4r = 0 Solving for variable 'P'. Move all terms containing P to the left, all other terms to the right. Add '3p' to each side of the equation. P + -3p + 5q + 3p + 4r = 0 + 3p Reorder the terms: P + -3p + 3p + 5q + 4r = 0 + 3p Combine like terms: -3p + 3p = 0 P + 0 + 5q + 4r = 0 + 3p P + 5q + 4r = 0 + 3p Remove the zero: P + 5q + 4r = 3p Add '-5q' to each side of the equation. P + 5q + -5q + 4r = 3p + -5q Combine like terms: 5q + -5q = 0 P + 0 + 4r = 3p + -5q P + 4r = 3p + -5q Add '-4r' to each side of the equation. P + 4r + -4r = 3p + -5q + -4r Combine like terms: 4r + -4r = 0 P + 0 = 3p + -5q + -4r P = 3p + -5q + -4r Simplifying P = 3p + -5q + -4r
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