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Simplifying 5.8q + -3.9 + -5.4q = 0.6q + -5.7 Reorder the terms: -3.9 + 5.8q + -5.4q = 0.6q + -5.7 Combine like terms: 5.8q + -5.4q = 0.4q -3.9 + 0.4q = 0.6q + -5.7 Reorder the terms: -3.9 + 0.4q = -5.7 + 0.6q Solving -3.9 + 0.4q = -5.7 + 0.6q Solving for variable 'q'. Move all terms containing q to the left, all other terms to the right. Add '-0.6q' to each side of the equation. -3.9 + 0.4q + -0.6q = -5.7 + 0.6q + -0.6q Combine like terms: 0.4q + -0.6q = -0.2q -3.9 + -0.2q = -5.7 + 0.6q + -0.6q Combine like terms: 0.6q + -0.6q = 0.0 -3.9 + -0.2q = -5.7 + 0.0 -3.9 + -0.2q = -5.7 Add '3.9' to each side of the equation. -3.9 + 3.9 + -0.2q = -5.7 + 3.9 Combine like terms: -3.9 + 3.9 = 0.0 0.0 + -0.2q = -5.7 + 3.9 -0.2q = -5.7 + 3.9 Combine like terms: -5.7 + 3.9 = -1.8 -0.2q = -1.8 Divide each side by '-0.2'. q = 9 Simplifying q = 9
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