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Simplifying 14q + 16r + -8q + 4r + 9 = 0 Reorder the terms: 9 + 14q + -8q + 16r + 4r = 0 Combine like terms: 14q + -8q = 6q 9 + 6q + 16r + 4r = 0 Combine like terms: 16r + 4r = 20r 9 + 6q + 20r = 0 Solving 9 + 6q + 20r = 0 Solving for variable 'q'. Move all terms containing q to the left, all other terms to the right. Add '-9' to each side of the equation. 9 + 6q + -9 + 20r = 0 + -9 Reorder the terms: 9 + -9 + 6q + 20r = 0 + -9 Combine like terms: 9 + -9 = 0 0 + 6q + 20r = 0 + -9 6q + 20r = 0 + -9 Combine like terms: 0 + -9 = -9 6q + 20r = -9 Add '-20r' to each side of the equation. 6q + 20r + -20r = -9 + -20r Combine like terms: 20r + -20r = 0 6q + 0 = -9 + -20r 6q = -9 + -20r Divide each side by '6'. q = -1.5 + -3.333333333r Simplifying q = -1.5 + -3.333333333r
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