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Simplifying 3.1q + -1.4 + -5.5q = -3.4q + -4.2 Reorder the terms: -1.4 + 3.1q + -5.5q = -3.4q + -4.2 Combine like terms: 3.1q + -5.5q = -2.4q -1.4 + -2.4q = -3.4q + -4.2 Reorder the terms: -1.4 + -2.4q = -4.2 + -3.4q Solving -1.4 + -2.4q = -4.2 + -3.4q Solving for variable 'q'. Move all terms containing q to the left, all other terms to the right. Add '3.4q' to each side of the equation. -1.4 + -2.4q + 3.4q = -4.2 + -3.4q + 3.4q Combine like terms: -2.4q + 3.4q = 1q -1.4 + 1q = -4.2 + -3.4q + 3.4q Combine like terms: -3.4q + 3.4q = 0.0 -1.4 + 1q = -4.2 + 0.0 -1.4 + 1q = -4.2 Add '1.4' to each side of the equation. -1.4 + 1.4 + 1q = -4.2 + 1.4 Combine like terms: -1.4 + 1.4 = 0.0 0.0 + 1q = -4.2 + 1.4 1q = -4.2 + 1.4 Combine like terms: -4.2 + 1.4 = -2.8 1q = -2.8 Divide each side by '1'. q = -2.8 Simplifying q = -2.8
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