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Simplifying 5.9q + -3.2 + -5.8q = -0.9q + -4.1 Reorder the terms: -3.2 + 5.9q + -5.8q = -0.9q + -4.1 Combine like terms: 5.9q + -5.8q = 0.1q -3.2 + 0.1q = -0.9q + -4.1 Reorder the terms: -3.2 + 0.1q = -4.1 + -0.9q Solving -3.2 + 0.1q = -4.1 + -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. -3.2 + 0.1q + 0.9q = -4.1 + -0.9q + 0.9q Combine like terms: 0.1q + 0.9q = 1q -3.2 + 1q = -4.1 + -0.9q + 0.9q Combine like terms: -0.9q + 0.9q = 0.0 -3.2 + 1q = -4.1 + 0.0 -3.2 + 1q = -4.1 Add '3.2' to each side of the equation. -3.2 + 3.2 + 1q = -4.1 + 3.2 Combine like terms: -3.2 + 3.2 = 0.0 0.0 + 1q = -4.1 + 3.2 1q = -4.1 + 3.2 Combine like terms: -4.1 + 3.2 = -0.9 1q = -0.9 Divide each side by '1'. q = -0.9 Simplifying q = -0.9
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