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Simplifying 3.2q + -3.8 + -3.3q = 1.1q + -5.9 Reorder the terms: -3.8 + 3.2q + -3.3q = 1.1q + -5.9 Combine like terms: 3.2q + -3.3q = -0.1q -3.8 + -0.1q = 1.1q + -5.9 Reorder the terms: -3.8 + -0.1q = -5.9 + 1.1q Solving -3.8 + -0.1q = -5.9 + 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. -3.8 + -0.1q + -1.1q = -5.9 + 1.1q + -1.1q Combine like terms: -0.1q + -1.1q = -1.2q -3.8 + -1.2q = -5.9 + 1.1q + -1.1q Combine like terms: 1.1q + -1.1q = 0.0 -3.8 + -1.2q = -5.9 + 0.0 -3.8 + -1.2q = -5.9 Add '3.8' to each side of the equation. -3.8 + 3.8 + -1.2q = -5.9 + 3.8 Combine like terms: -3.8 + 3.8 = 0.0 0.0 + -1.2q = -5.9 + 3.8 -1.2q = -5.9 + 3.8 Combine like terms: -5.9 + 3.8 = -2.1 -1.2q = -2.1 Divide each side by '-1.2'. q = 1.75 Simplifying q = 1.75
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