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Simplifying 3.3q + -5.7 + -3.4q = -2.1q + -5.2 Reorder the terms: -5.7 + 3.3q + -3.4q = -2.1q + -5.2 Combine like terms: 3.3q + -3.4q = -0.1q -5.7 + -0.1q = -2.1q + -5.2 Reorder the terms: -5.7 + -0.1q = -5.2 + -2.1q Solving -5.7 + -0.1q = -5.2 + -2.1q Solving for variable 'q'. Move all terms containing q to the left, all other terms to the right. Add '2.1q' to each side of the equation. -5.7 + -0.1q + 2.1q = -5.2 + -2.1q + 2.1q Combine like terms: -0.1q + 2.1q = 2q -5.7 + 2q = -5.2 + -2.1q + 2.1q Combine like terms: -2.1q + 2.1q = 0.0 -5.7 + 2q = -5.2 + 0.0 -5.7 + 2q = -5.2 Add '5.7' to each side of the equation. -5.7 + 5.7 + 2q = -5.2 + 5.7 Combine like terms: -5.7 + 5.7 = 0.0 0.0 + 2q = -5.2 + 5.7 2q = -5.2 + 5.7 Combine like terms: -5.2 + 5.7 = 0.5 2q = 0.5 Divide each side by '2'. q = 0.25 Simplifying q = 0.25
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