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Simplifying 5.7q + -2.8 + -4.9q = -0.2q + -3.4 Reorder the terms: -2.8 + 5.7q + -4.9q = -0.2q + -3.4 Combine like terms: 5.7q + -4.9q = 0.8q -2.8 + 0.8q = -0.2q + -3.4 Reorder the terms: -2.8 + 0.8q = -3.4 + -0.2q Solving -2.8 + 0.8q = -3.4 + -0.2q Solving for variable 'q'. Move all terms containing q to the left, all other terms to the right. Add '0.2q' to each side of the equation. -2.8 + 0.8q + 0.2q = -3.4 + -0.2q + 0.2q Combine like terms: 0.8q + 0.2q = 1q -2.8 + 1q = -3.4 + -0.2q + 0.2q Combine like terms: -0.2q + 0.2q = 0.0 -2.8 + 1q = -3.4 + 0.0 -2.8 + 1q = -3.4 Add '2.8' to each side of the equation. -2.8 + 2.8 + 1q = -3.4 + 2.8 Combine like terms: -2.8 + 2.8 = 0.0 0.0 + 1q = -3.4 + 2.8 1q = -3.4 + 2.8 Combine like terms: -3.4 + 2.8 = -0.6 1q = -0.6 Divide each side by '1'. q = -0.6 Simplifying q = -0.6
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