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Simplifying 5q + 8q + 16r + -2s + -6q + 6s + 4r = 0 Reorder the terms: 5q + 8q + -6q + 16r + 4r + -2s + 6s = 0 Combine like terms: 5q + 8q = 13q 13q + -6q + 16r + 4r + -2s + 6s = 0 Combine like terms: 13q + -6q = 7q 7q + 16r + 4r + -2s + 6s = 0 Combine like terms: 16r + 4r = 20r 7q + 20r + -2s + 6s = 0 Combine like terms: -2s + 6s = 4s 7q + 20r + 4s = 0 Solving 7q + 20r + 4s = 0 Solving for variable 'q'. Move all terms containing q to the left, all other terms to the right. Add '-20r' to each side of the equation. 7q + 20r + -20r + 4s = 0 + -20r Combine like terms: 20r + -20r = 0 7q + 0 + 4s = 0 + -20r 7q + 4s = 0 + -20r Remove the zero: 7q + 4s = -20r Add '-4s' to each side of the equation. 7q + 4s + -4s = -20r + -4s Combine like terms: 4s + -4s = 0 7q + 0 = -20r + -4s 7q = -20r + -4s Divide each side by '7'. q = -2.857142857r + -0.5714285714s Simplifying q = -2.857142857r + -0.5714285714s
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