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Simplifying 2.7q + -5.6 + -5.8q = -4.1q + -2.1 Reorder the terms: -5.6 + 2.7q + -5.8q = -4.1q + -2.1 Combine like terms: 2.7q + -5.8q = -3.1q -5.6 + -3.1q = -4.1q + -2.1 Reorder the terms: -5.6 + -3.1q = -2.1 + -4.1q Solving -5.6 + -3.1q = -2.1 + -4.1q Solving for variable 'q'. Move all terms containing q to the left, all other terms to the right. Add '4.1q' to each side of the equation. -5.6 + -3.1q + 4.1q = -2.1 + -4.1q + 4.1q Combine like terms: -3.1q + 4.1q = 1q -5.6 + 1q = -2.1 + -4.1q + 4.1q Combine like terms: -4.1q + 4.1q = 0.0 -5.6 + 1q = -2.1 + 0.0 -5.6 + 1q = -2.1 Add '5.6' to each side of the equation. -5.6 + 5.6 + 1q = -2.1 + 5.6 Combine like terms: -5.6 + 5.6 = 0.0 0.0 + 1q = -2.1 + 5.6 1q = -2.1 + 5.6 Combine like terms: -2.1 + 5.6 = 3.5 1q = 3.5 Divide each side by '1'. q = 3.5 Simplifying q = 3.5
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