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Simplifying 5.2q + -5.8 + -4.9q = -0.7q + -5.4 Reorder the terms: -5.8 + 5.2q + -4.9q = -0.7q + -5.4 Combine like terms: 5.2q + -4.9q = 0.3q -5.8 + 0.3q = -0.7q + -5.4 Reorder the terms: -5.8 + 0.3q = -5.4 + -0.7q Solving -5.8 + 0.3q = -5.4 + -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. -5.8 + 0.3q + 0.7q = -5.4 + -0.7q + 0.7q Combine like terms: 0.3q + 0.7q = 1q -5.8 + 1q = -5.4 + -0.7q + 0.7q Combine like terms: -0.7q + 0.7q = 0.0 -5.8 + 1q = -5.4 + 0.0 -5.8 + 1q = -5.4 Add '5.8' to each side of the equation. -5.8 + 5.8 + 1q = -5.4 + 5.8 Combine like terms: -5.8 + 5.8 = 0.0 0.0 + 1q = -5.4 + 5.8 1q = -5.4 + 5.8 Combine like terms: -5.4 + 5.8 = 0.4 1q = 0.4 Divide each side by '1'. q = 0.4 Simplifying q = 0.4
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