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Simplifying 5.9q + -5.9 + -5.7q = 0.8q + -2.3 Reorder the terms: -5.9 + 5.9q + -5.7q = 0.8q + -2.3 Combine like terms: 5.9q + -5.7q = 0.2q -5.9 + 0.2q = 0.8q + -2.3 Reorder the terms: -5.9 + 0.2q = -2.3 + 0.8q Solving -5.9 + 0.2q = -2.3 + 0.8q Solving for variable 'q'. Move all terms containing q to the left, all other terms to the right. Add '-0.8q' to each side of the equation. -5.9 + 0.2q + -0.8q = -2.3 + 0.8q + -0.8q Combine like terms: 0.2q + -0.8q = -0.6q -5.9 + -0.6q = -2.3 + 0.8q + -0.8q Combine like terms: 0.8q + -0.8q = 0.0 -5.9 + -0.6q = -2.3 + 0.0 -5.9 + -0.6q = -2.3 Add '5.9' to each side of the equation. -5.9 + 5.9 + -0.6q = -2.3 + 5.9 Combine like terms: -5.9 + 5.9 = 0.0 0.0 + -0.6q = -2.3 + 5.9 -0.6q = -2.3 + 5.9 Combine like terms: -2.3 + 5.9 = 3.6 -0.6q = 3.6 Divide each side by '-0.6'. q = -6 Simplifying q = -6
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