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Simplifying 3.2q + -2.1 + -5.6q = -3.4q + -3.9 Reorder the terms: -2.1 + 3.2q + -5.6q = -3.4q + -3.9 Combine like terms: 3.2q + -5.6q = -2.4q -2.1 + -2.4q = -3.4q + -3.9 Reorder the terms: -2.1 + -2.4q = -3.9 + -3.4q Solving -2.1 + -2.4q = -3.9 + -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. -2.1 + -2.4q + 3.4q = -3.9 + -3.4q + 3.4q Combine like terms: -2.4q + 3.4q = 1q -2.1 + 1q = -3.9 + -3.4q + 3.4q Combine like terms: -3.4q + 3.4q = 0.0 -2.1 + 1q = -3.9 + 0.0 -2.1 + 1q = -3.9 Add '2.1' to each side of the equation. -2.1 + 2.1 + 1q = -3.9 + 2.1 Combine like terms: -2.1 + 2.1 = 0.0 0.0 + 1q = -3.9 + 2.1 1q = -3.9 + 2.1 Combine like terms: -3.9 + 2.1 = -1.8 1q = -1.8 Divide each side by '1'. q = -1.8 Simplifying q = -1.8
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