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Simplifying 5.1q + -5.2 + -4.2q = -0.1 + -2.8 Reorder the terms: -5.2 + 5.1q + -4.2q = -0.1 + -2.8 Combine like terms: 5.1q + -4.2q = 0.9q -5.2 + 0.9q = -0.1 + -2.8 Combine like terms: -0.1 + -2.8 = -2.9 -5.2 + 0.9q = -2.9 Solving -5.2 + 0.9q = -2.9 Solving for variable 'q'. Move all terms containing q to the left, all other terms to the right. Add '5.2' to each side of the equation. -5.2 + 5.2 + 0.9q = -2.9 + 5.2 Combine like terms: -5.2 + 5.2 = 0.0 0.0 + 0.9q = -2.9 + 5.2 0.9q = -2.9 + 5.2 Combine like terms: -2.9 + 5.2 = 2.3 0.9q = 2.3 Divide each side by '0.9'. q = 2.555555556 Simplifying q = 2.555555556
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