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Simplifying 5.8q + -1.8 + -5.5q = -0.7q + -5.9 Reorder the terms: -1.8 + 5.8q + -5.5q = -0.7q + -5.9 Combine like terms: 5.8q + -5.5q = 0.3q -1.8 + 0.3q = -0.7q + -5.9 Reorder the terms: -1.8 + 0.3q = -5.9 + -0.7q Solving -1.8 + 0.3q = -5.9 + -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. -1.8 + 0.3q + 0.7q = -5.9 + -0.7q + 0.7q Combine like terms: 0.3q + 0.7q = 1q -1.8 + 1q = -5.9 + -0.7q + 0.7q Combine like terms: -0.7q + 0.7q = 0.0 -1.8 + 1q = -5.9 + 0.0 -1.8 + 1q = -5.9 Add '1.8' to each side of the equation. -1.8 + 1.8 + 1q = -5.9 + 1.8 Combine like terms: -1.8 + 1.8 = 0.0 0.0 + 1q = -5.9 + 1.8 1q = -5.9 + 1.8 Combine like terms: -5.9 + 1.8 = -4.1 1q = -4.1 Divide each side by '1'. q = -4.1 Simplifying q = -4.1
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