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Simplifying 5.1q + -5.1 + -5.5q = -1.4q + -5.3 Reorder the terms: -5.1 + 5.1q + -5.5q = -1.4q + -5.3 Combine like terms: 5.1q + -5.5q = -0.4q -5.1 + -0.4q = -1.4q + -5.3 Reorder the terms: -5.1 + -0.4q = -5.3 + -1.4q Solving -5.1 + -0.4q = -5.3 + -1.4q Solving for variable 'q'. Move all terms containing q to the left, all other terms to the right. Add '1.4q' to each side of the equation. -5.1 + -0.4q + 1.4q = -5.3 + -1.4q + 1.4q Combine like terms: -0.4q + 1.4q = 1q -5.1 + 1q = -5.3 + -1.4q + 1.4q Combine like terms: -1.4q + 1.4q = 0.0 -5.1 + 1q = -5.3 + 0.0 -5.1 + 1q = -5.3 Add '5.1' to each side of the equation. -5.1 + 5.1 + 1q = -5.3 + 5.1 Combine like terms: -5.1 + 5.1 = 0.0 0.0 + 1q = -5.3 + 5.1 1q = -5.3 + 5.1 Combine like terms: -5.3 + 5.1 = -0.2 1q = -0.2 Divide each side by '1'. q = -0.2 Simplifying q = -0.2
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