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Simplifying 3.3q + -1.1 + -3.2q = 0.9q + -5.4 Reorder the terms: -1.1 + 3.3q + -3.2q = 0.9q + -5.4 Combine like terms: 3.3q + -3.2q = 0.1q -1.1 + 0.1q = 0.9q + -5.4 Reorder the terms: -1.1 + 0.1q = -5.4 + 0.9q Solving -1.1 + 0.1q = -5.4 + 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. -1.1 + 0.1q + -0.9q = -5.4 + 0.9q + -0.9q Combine like terms: 0.1q + -0.9q = -0.8q -1.1 + -0.8q = -5.4 + 0.9q + -0.9q Combine like terms: 0.9q + -0.9q = 0.0 -1.1 + -0.8q = -5.4 + 0.0 -1.1 + -0.8q = -5.4 Add '1.1' to each side of the equation. -1.1 + 1.1 + -0.8q = -5.4 + 1.1 Combine like terms: -1.1 + 1.1 = 0.0 0.0 + -0.8q = -5.4 + 1.1 -0.8q = -5.4 + 1.1 Combine like terms: -5.4 + 1.1 = -4.3 -0.8q = -4.3 Divide each side by '-0.8'. q = 5.375 Simplifying q = 5.375
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