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Simplifying 5.2q + -3.1 + -5.8q = -1.6 + -3.2 Reorder the terms: -3.1 + 5.2q + -5.8q = -1.6 + -3.2 Combine like terms: 5.2q + -5.8q = -0.6q -3.1 + -0.6q = -1.6 + -3.2 Combine like terms: -1.6 + -3.2 = -4.8 -3.1 + -0.6q = -4.8 Solving -3.1 + -0.6q = -4.8 Solving for variable 'q'. Move all terms containing q to the left, all other terms to the right. Add '3.1' to each side of the equation. -3.1 + 3.1 + -0.6q = -4.8 + 3.1 Combine like terms: -3.1 + 3.1 = 0.0 0.0 + -0.6q = -4.8 + 3.1 -0.6q = -4.8 + 3.1 Combine like terms: -4.8 + 3.1 = -1.7 -0.6q = -1.7 Divide each side by '-0.6'. q = 2.833333333 Simplifying q = 2.833333333
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