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Simplifying 5.8q + -5.1 + -5.9q = -1.1q + -2.7 Reorder the terms: -5.1 + 5.8q + -5.9q = -1.1q + -2.7 Combine like terms: 5.8q + -5.9q = -0.1q -5.1 + -0.1q = -1.1q + -2.7 Reorder the terms: -5.1 + -0.1q = -2.7 + -1.1q Solving -5.1 + -0.1q = -2.7 + -1.1q Solving for variable 'q'. Move all terms containing q to the left, all other terms to the right. Add '1.1q' to each side of the equation. -5.1 + -0.1q + 1.1q = -2.7 + -1.1q + 1.1q Combine like terms: -0.1q + 1.1q = 1q -5.1 + 1q = -2.7 + -1.1q + 1.1q Combine like terms: -1.1q + 1.1q = 0.0 -5.1 + 1q = -2.7 + 0.0 -5.1 + 1q = -2.7 Add '5.1' to each side of the equation. -5.1 + 5.1 + 1q = -2.7 + 5.1 Combine like terms: -5.1 + 5.1 = 0.0 0.0 + 1q = -2.7 + 5.1 1q = -2.7 + 5.1 Combine like terms: -2.7 + 5.1 = 2.4 1q = 2.4 Divide each side by '1'. q = 2.4 Simplifying q = 2.4
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