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Simplifying 3.2q + -5.3 + -3.3q = -1.1q + -3.8 Reorder the terms: -5.3 + 3.2q + -3.3q = -1.1q + -3.8 Combine like terms: 3.2q + -3.3q = -0.1q -5.3 + -0.1q = -1.1q + -3.8 Reorder the terms: -5.3 + -0.1q = -3.8 + -1.1q Solving -5.3 + -0.1q = -3.8 + -1.1q Solving for variable 'q'. Move all terms containing q to the left, all other terms to the right. Add '1.1q' to each side of the equation. -5.3 + -0.1q + 1.1q = -3.8 + -1.1q + 1.1q Combine like terms: -0.1q + 1.1q = 1q -5.3 + 1q = -3.8 + -1.1q + 1.1q Combine like terms: -1.1q + 1.1q = 0.0 -5.3 + 1q = -3.8 + 0.0 -5.3 + 1q = -3.8 Add '5.3' to each side of the equation. -5.3 + 5.3 + 1q = -3.8 + 5.3 Combine like terms: -5.3 + 5.3 = 0.0 0.0 + 1q = -3.8 + 5.3 1q = -3.8 + 5.3 Combine like terms: -3.8 + 5.3 = 1.5 1q = 1.5 Divide each side by '1'. q = 1.5 Simplifying q = 1.5
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