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Simplifying 3.4(5.1q + 1.2r) + 2.34r = 0 (5.1q * 3.4 + 1.2r * 3.4) + 2.34r = 0 (17.34q + 4.08r) + 2.34r = 0 Combine like terms: 4.08r + 2.34r = 6.42r 17.34q + 6.42r = 0 Solving 17.34q + 6.42r = 0 Solving for variable 'q'. Move all terms containing q to the left, all other terms to the right. Add '-6.42r' to each side of the equation. 17.34q + 6.42r + -6.42r = 0 + -6.42r Combine like terms: 6.42r + -6.42r = 0.00 17.34q + 0.00 = 0 + -6.42r 17.34q = 0 + -6.42r Remove the zero: 17.34q = -6.42r Divide each side by '17.34'. q = -0.3702422145r Simplifying q = -0.3702422145r
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