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Simplifying 5.4q + -5.1 + -5.3q = -0.9q + -3.9 Reorder the terms: -5.1 + 5.4q + -5.3q = -0.9q + -3.9 Combine like terms: 5.4q + -5.3q = 0.1q -5.1 + 0.1q = -0.9q + -3.9 Reorder the terms: -5.1 + 0.1q = -3.9 + -0.9q Solving -5.1 + 0.1q = -3.9 + -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. -5.1 + 0.1q + 0.9q = -3.9 + -0.9q + 0.9q Combine like terms: 0.1q + 0.9q = 1q -5.1 + 1q = -3.9 + -0.9q + 0.9q Combine like terms: -0.9q + 0.9q = 0.0 -5.1 + 1q = -3.9 + 0.0 -5.1 + 1q = -3.9 Add '5.1' to each side of the equation. -5.1 + 5.1 + 1q = -3.9 + 5.1 Combine like terms: -5.1 + 5.1 = 0.0 0.0 + 1q = -3.9 + 5.1 1q = -3.9 + 5.1 Combine like terms: -3.9 + 5.1 = 1.2 1q = 1.2 Divide each side by '1'. q = 1.2 Simplifying q = 1.2
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