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Simplifying 5.9q + -4.6 + -5.2q = -0.3q + -5.1 Reorder the terms: -4.6 + 5.9q + -5.2q = -0.3q + -5.1 Combine like terms: 5.9q + -5.2q = 0.7q -4.6 + 0.7q = -0.3q + -5.1 Reorder the terms: -4.6 + 0.7q = -5.1 + -0.3q Solving -4.6 + 0.7q = -5.1 + -0.3q Solving for variable 'q'. Move all terms containing q to the left, all other terms to the right. Add '0.3q' to each side of the equation. -4.6 + 0.7q + 0.3q = -5.1 + -0.3q + 0.3q Combine like terms: 0.7q + 0.3q = 1q -4.6 + 1q = -5.1 + -0.3q + 0.3q Combine like terms: -0.3q + 0.3q = 0.0 -4.6 + 1q = -5.1 + 0.0 -4.6 + 1q = -5.1 Add '4.6' to each side of the equation. -4.6 + 4.6 + 1q = -5.1 + 4.6 Combine like terms: -4.6 + 4.6 = 0.0 0.0 + 1q = -5.1 + 4.6 1q = -5.1 + 4.6 Combine like terms: -5.1 + 4.6 = -0.5 1q = -0.5 Divide each side by '1'. q = -0.5 Simplifying q = -0.5
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