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Simplifying 4.6q + -5.7 + -4.4q = 0.8q + -5.4 Reorder the terms: -5.7 + 4.6q + -4.4q = 0.8q + -5.4 Combine like terms: 4.6q + -4.4q = 0.2q -5.7 + 0.2q = 0.8q + -5.4 Reorder the terms: -5.7 + 0.2q = -5.4 + 0.8q Solving -5.7 + 0.2q = -5.4 + 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. -5.7 + 0.2q + -0.8q = -5.4 + 0.8q + -0.8q Combine like terms: 0.2q + -0.8q = -0.6q -5.7 + -0.6q = -5.4 + 0.8q + -0.8q Combine like terms: 0.8q + -0.8q = 0.0 -5.7 + -0.6q = -5.4 + 0.0 -5.7 + -0.6q = -5.4 Add '5.7' to each side of the equation. -5.7 + 5.7 + -0.6q = -5.4 + 5.7 Combine like terms: -5.7 + 5.7 = 0.0 0.0 + -0.6q = -5.4 + 5.7 -0.6q = -5.4 + 5.7 Combine like terms: -5.4 + 5.7 = 0.3 -0.6q = 0.3 Divide each side by '-0.6'. q = -0.5 Simplifying q = -0.5
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