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Simplifying 2 + 7q + 3r + q = 0 Reorder the terms: 2 + 7q + q + 3r = 0 Combine like terms: 7q + q = 8q 2 + 8q + 3r = 0 Solving 2 + 8q + 3r = 0 Solving for variable 'q'. Move all terms containing q to the left, all other terms to the right. Add '-2' to each side of the equation. 2 + 8q + -2 + 3r = 0 + -2 Reorder the terms: 2 + -2 + 8q + 3r = 0 + -2 Combine like terms: 2 + -2 = 0 0 + 8q + 3r = 0 + -2 8q + 3r = 0 + -2 Combine like terms: 0 + -2 = -2 8q + 3r = -2 Add '-3r' to each side of the equation. 8q + 3r + -3r = -2 + -3r Combine like terms: 3r + -3r = 0 8q + 0 = -2 + -3r 8q = -2 + -3r Divide each side by '8'. q = -0.25 + -0.375r Simplifying q = -0.25 + -0.375r
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