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Simplifying 5.1q + -2.2 + -4.5q = -0.4q + -5.4 Reorder the terms: -2.2 + 5.1q + -4.5q = -0.4q + -5.4 Combine like terms: 5.1q + -4.5q = 0.6q -2.2 + 0.6q = -0.4q + -5.4 Reorder the terms: -2.2 + 0.6q = -5.4 + -0.4q Solving -2.2 + 0.6q = -5.4 + -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. -2.2 + 0.6q + 0.4q = -5.4 + -0.4q + 0.4q Combine like terms: 0.6q + 0.4q = 1q -2.2 + 1q = -5.4 + -0.4q + 0.4q Combine like terms: -0.4q + 0.4q = 0.0 -2.2 + 1q = -5.4 + 0.0 -2.2 + 1q = -5.4 Add '2.2' to each side of the equation. -2.2 + 2.2 + 1q = -5.4 + 2.2 Combine like terms: -2.2 + 2.2 = 0.0 0.0 + 1q = -5.4 + 2.2 1q = -5.4 + 2.2 Combine like terms: -5.4 + 2.2 = -3.2 1q = -3.2 Divide each side by '1'. q = -3.2 Simplifying q = -3.2
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