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Simplifying 2.3q + -5.7 + -4.7q = -3.4q + -4.1 Reorder the terms: -5.7 + 2.3q + -4.7q = -3.4q + -4.1 Combine like terms: 2.3q + -4.7q = -2.4q -5.7 + -2.4q = -3.4q + -4.1 Reorder the terms: -5.7 + -2.4q = -4.1 + -3.4q Solving -5.7 + -2.4q = -4.1 + -3.4q Solving for variable 'q'. Move all terms containing q to the left, all other terms to the right. Add '3.4q' to each side of the equation. -5.7 + -2.4q + 3.4q = -4.1 + -3.4q + 3.4q Combine like terms: -2.4q + 3.4q = 1q -5.7 + 1q = -4.1 + -3.4q + 3.4q Combine like terms: -3.4q + 3.4q = 0.0 -5.7 + 1q = -4.1 + 0.0 -5.7 + 1q = -4.1 Add '5.7' to each side of the equation. -5.7 + 5.7 + 1q = -4.1 + 5.7 Combine like terms: -5.7 + 5.7 = 0.0 0.0 + 1q = -4.1 + 5.7 1q = -4.1 + 5.7 Combine like terms: -4.1 + 5.7 = 1.6 1q = 1.6 Divide each side by '1'. q = 1.6 Simplifying q = 1.6
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