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Simplifying 5.8q + -4.2 + -5.5q = -0.7q + -3.6 Reorder the terms: -4.2 + 5.8q + -5.5q = -0.7q + -3.6 Combine like terms: 5.8q + -5.5q = 0.3q -4.2 + 0.3q = -0.7q + -3.6 Reorder the terms: -4.2 + 0.3q = -3.6 + -0.7q Solving -4.2 + 0.3q = -3.6 + -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. -4.2 + 0.3q + 0.7q = -3.6 + -0.7q + 0.7q Combine like terms: 0.3q + 0.7q = 1q -4.2 + 1q = -3.6 + -0.7q + 0.7q Combine like terms: -0.7q + 0.7q = 0.0 -4.2 + 1q = -3.6 + 0.0 -4.2 + 1q = -3.6 Add '4.2' to each side of the equation. -4.2 + 4.2 + 1q = -3.6 + 4.2 Combine like terms: -4.2 + 4.2 = 0.0 0.0 + 1q = -3.6 + 4.2 1q = -3.6 + 4.2 Combine like terms: -3.6 + 4.2 = 0.6 1q = 0.6 Divide each side by '1'. q = 0.6 Simplifying q = 0.6
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