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Simplifying 5.6q + -2.1 + -5.4q = -0.8q + -5.8 Reorder the terms: -2.1 + 5.6q + -5.4q = -0.8q + -5.8 Combine like terms: 5.6q + -5.4q = 0.2q -2.1 + 0.2q = -0.8q + -5.8 Reorder the terms: -2.1 + 0.2q = -5.8 + -0.8q Solving -2.1 + 0.2q = -5.8 + -0.8q Solving for variable 'q'. Move all terms containing q to the left, all other terms to the right. Add '0.8q' to each side of the equation. -2.1 + 0.2q + 0.8q = -5.8 + -0.8q + 0.8q Combine like terms: 0.2q + 0.8q = 1q -2.1 + 1q = -5.8 + -0.8q + 0.8q Combine like terms: -0.8q + 0.8q = 0.0 -2.1 + 1q = -5.8 + 0.0 -2.1 + 1q = -5.8 Add '2.1' to each side of the equation. -2.1 + 2.1 + 1q = -5.8 + 2.1 Combine like terms: -2.1 + 2.1 = 0.0 0.0 + 1q = -5.8 + 2.1 1q = -5.8 + 2.1 Combine like terms: -5.8 + 2.1 = -3.7 1q = -3.7 Divide each side by '1'. q = -3.7 Simplifying q = -3.7
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