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Simplifying 2.7q + -5.1 + -5.9q = -4.2q + -3.3 Reorder the terms: -5.1 + 2.7q + -5.9q = -4.2q + -3.3 Combine like terms: 2.7q + -5.9q = -3.2q -5.1 + -3.2q = -4.2q + -3.3 Reorder the terms: -5.1 + -3.2q = -3.3 + -4.2q Solving -5.1 + -3.2q = -3.3 + -4.2q Solving for variable 'q'. Move all terms containing q to the left, all other terms to the right. Add '4.2q' to each side of the equation. -5.1 + -3.2q + 4.2q = -3.3 + -4.2q + 4.2q Combine like terms: -3.2q + 4.2q = 1q -5.1 + 1q = -3.3 + -4.2q + 4.2q Combine like terms: -4.2q + 4.2q = 0.0 -5.1 + 1q = -3.3 + 0.0 -5.1 + 1q = -3.3 Add '5.1' to each side of the equation. -5.1 + 5.1 + 1q = -3.3 + 5.1 Combine like terms: -5.1 + 5.1 = 0.0 0.0 + 1q = -3.3 + 5.1 1q = -3.3 + 5.1 Combine like terms: -3.3 + 5.1 = 1.8 1q = 1.8 Divide each side by '1'. q = 1.8 Simplifying q = 1.8
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