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Simplifying 3.3q + -5.3 + -2.7q = -0.4q + -5.6 Reorder the terms: -5.3 + 3.3q + -2.7q = -0.4q + -5.6 Combine like terms: 3.3q + -2.7q = 0.6q -5.3 + 0.6q = -0.4q + -5.6 Reorder the terms: -5.3 + 0.6q = -5.6 + -0.4q Solving -5.3 + 0.6q = -5.6 + -0.4q Solving for variable 'q'. Move all terms containing q to the left, all other terms to the right. Add '0.4q' to each side of the equation. -5.3 + 0.6q + 0.4q = -5.6 + -0.4q + 0.4q Combine like terms: 0.6q + 0.4q = 1q -5.3 + 1q = -5.6 + -0.4q + 0.4q Combine like terms: -0.4q + 0.4q = 0.0 -5.3 + 1q = -5.6 + 0.0 -5.3 + 1q = -5.6 Add '5.3' to each side of the equation. -5.3 + 5.3 + 1q = -5.6 + 5.3 Combine like terms: -5.3 + 5.3 = 0.0 0.0 + 1q = -5.6 + 5.3 1q = -5.6 + 5.3 Combine like terms: -5.6 + 5.3 = -0.3 1q = -0.3 Divide each side by '1'. q = -0.3 Simplifying q = -0.3
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