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Simplifying 5.3q + -3.1 + -5.9q = -1.6q + -1.8 Reorder the terms: -3.1 + 5.3q + -5.9q = -1.6q + -1.8 Combine like terms: 5.3q + -5.9q = -0.6q -3.1 + -0.6q = -1.6q + -1.8 Reorder the terms: -3.1 + -0.6q = -1.8 + -1.6q Solving -3.1 + -0.6q = -1.8 + -1.6q Solving for variable 'q'. Move all terms containing q to the left, all other terms to the right. Add '1.6q' to each side of the equation. -3.1 + -0.6q + 1.6q = -1.8 + -1.6q + 1.6q Combine like terms: -0.6q + 1.6q = 1q -3.1 + 1q = -1.8 + -1.6q + 1.6q Combine like terms: -1.6q + 1.6q = 0.0 -3.1 + 1q = -1.8 + 0.0 -3.1 + 1q = -1.8 Add '3.1' to each side of the equation. -3.1 + 3.1 + 1q = -1.8 + 3.1 Combine like terms: -3.1 + 3.1 = 0.0 0.0 + 1q = -1.8 + 3.1 1q = -1.8 + 3.1 Combine like terms: -1.8 + 3.1 = 1.3 1q = 1.3 Divide each side by '1'. q = 1.3 Simplifying q = 1.3
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