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Simplifying 5.7q + -4.6 + -5.8 = -1.1q + -3.8 Reorder the terms: -4.6 + -5.8 + 5.7q = -1.1q + -3.8 Combine like terms: -4.6 + -5.8 = -10.4 -10.4 + 5.7q = -1.1q + -3.8 Reorder the terms: -10.4 + 5.7q = -3.8 + -1.1q Solving -10.4 + 5.7q = -3.8 + -1.1q Solving for variable 'q'. Move all terms containing q to the left, all other terms to the right. Add '1.1q' to each side of the equation. -10.4 + 5.7q + 1.1q = -3.8 + -1.1q + 1.1q Combine like terms: 5.7q + 1.1q = 6.8q -10.4 + 6.8q = -3.8 + -1.1q + 1.1q Combine like terms: -1.1q + 1.1q = 0.0 -10.4 + 6.8q = -3.8 + 0.0 -10.4 + 6.8q = -3.8 Add '10.4' to each side of the equation. -10.4 + 10.4 + 6.8q = -3.8 + 10.4 Combine like terms: -10.4 + 10.4 = 0.0 0.0 + 6.8q = -3.8 + 10.4 6.8q = -3.8 + 10.4 Combine like terms: -3.8 + 10.4 = 6.6 6.8q = 6.6 Divide each side by '6.8'. q = 0.9705882353 Simplifying q = 0.9705882353
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