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Simplifying 5.6q + -3.8 + -5.4q = -0.8 + -5.1 Reorder the terms: -3.8 + 5.6q + -5.4q = -0.8 + -5.1 Combine like terms: 5.6q + -5.4q = 0.2q -3.8 + 0.2q = -0.8 + -5.1 Combine like terms: -0.8 + -5.1 = -5.9 -3.8 + 0.2q = -5.9 Solving -3.8 + 0.2q = -5.9 Solving for variable 'q'. Move all terms containing q to the left, all other terms to the right. Add '3.8' to each side of the equation. -3.8 + 3.8 + 0.2q = -5.9 + 3.8 Combine like terms: -3.8 + 3.8 = 0.0 0.0 + 0.2q = -5.9 + 3.8 0.2q = -5.9 + 3.8 Combine like terms: -5.9 + 3.8 = -2.1 0.2q = -2.1 Divide each side by '0.2'. q = -10.5 Simplifying q = -10.5
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