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Simplifying 2.7q + -3.5 + -3.8q = 2.1q + -5.6 Reorder the terms: -3.5 + 2.7q + -3.8q = 2.1q + -5.6 Combine like terms: 2.7q + -3.8q = -1.1q -3.5 + -1.1q = 2.1q + -5.6 Reorder the terms: -3.5 + -1.1q = -5.6 + 2.1q Solving -3.5 + -1.1q = -5.6 + 2.1q Solving for variable 'q'. Move all terms containing q to the left, all other terms to the right. Add '-2.1q' to each side of the equation. -3.5 + -1.1q + -2.1q = -5.6 + 2.1q + -2.1q Combine like terms: -1.1q + -2.1q = -3.2q -3.5 + -3.2q = -5.6 + 2.1q + -2.1q Combine like terms: 2.1q + -2.1q = 0.0 -3.5 + -3.2q = -5.6 + 0.0 -3.5 + -3.2q = -5.6 Add '3.5' to each side of the equation. -3.5 + 3.5 + -3.2q = -5.6 + 3.5 Combine like terms: -3.5 + 3.5 = 0.0 0.0 + -3.2q = -5.6 + 3.5 -3.2q = -5.6 + 3.5 Combine like terms: -5.6 + 3.5 = -2.1 -3.2q = -2.1 Divide each side by '-3.2'. q = 0.65625 Simplifying q = 0.65625
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