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Simplifying 5.2q + -1.7 + -5.1q = -0.9q + -5.6 Reorder the terms: -1.7 + 5.2q + -5.1q = -0.9q + -5.6 Combine like terms: 5.2q + -5.1q = 0.1q -1.7 + 0.1q = -0.9q + -5.6 Reorder the terms: -1.7 + 0.1q = -5.6 + -0.9q Solving -1.7 + 0.1q = -5.6 + -0.9q Solving for variable 'q'. Move all terms containing q to the left, all other terms to the right. Add '0.9q' to each side of the equation. -1.7 + 0.1q + 0.9q = -5.6 + -0.9q + 0.9q Combine like terms: 0.1q + 0.9q = 1q -1.7 + 1q = -5.6 + -0.9q + 0.9q Combine like terms: -0.9q + 0.9q = 0.0 -1.7 + 1q = -5.6 + 0.0 -1.7 + 1q = -5.6 Add '1.7' to each side of the equation. -1.7 + 1.7 + 1q = -5.6 + 1.7 Combine like terms: -1.7 + 1.7 = 0.0 0.0 + 1q = -5.6 + 1.7 1q = -5.6 + 1.7 Combine like terms: -5.6 + 1.7 = -3.9 1q = -3.9 Divide each side by '1'. q = -3.9 Simplifying q = -3.9
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