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Simplifying 4.2q + -1.1 + -3.9q = -0.7q + -3.4 Reorder the terms: -1.1 + 4.2q + -3.9q = -0.7q + -3.4 Combine like terms: 4.2q + -3.9q = 0.3q -1.1 + 0.3q = -0.7q + -3.4 Reorder the terms: -1.1 + 0.3q = -3.4 + -0.7q Solving -1.1 + 0.3q = -3.4 + -0.7q Solving for variable 'q'. Move all terms containing q to the left, all other terms to the right. Add '0.7q' to each side of the equation. -1.1 + 0.3q + 0.7q = -3.4 + -0.7q + 0.7q Combine like terms: 0.3q + 0.7q = 1q -1.1 + 1q = -3.4 + -0.7q + 0.7q Combine like terms: -0.7q + 0.7q = 0.0 -1.1 + 1q = -3.4 + 0.0 -1.1 + 1q = -3.4 Add '1.1' to each side of the equation. -1.1 + 1.1 + 1q = -3.4 + 1.1 Combine like terms: -1.1 + 1.1 = 0.0 0.0 + 1q = -3.4 + 1.1 1q = -3.4 + 1.1 Combine like terms: -3.4 + 1.1 = -2.3 1q = -2.3 Divide each side by '1'. q = -2.3 Simplifying q = -2.3
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