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Simplifying 5.9q + -1.4 + -5.5q = -0.69q + -5.3 Reorder the terms: -1.4 + 5.9q + -5.5q = -0.69q + -5.3 Combine like terms: 5.9q + -5.5q = 0.4q -1.4 + 0.4q = -0.69q + -5.3 Reorder the terms: -1.4 + 0.4q = -5.3 + -0.69q Solving -1.4 + 0.4q = -5.3 + -0.69q Solving for variable 'q'. Move all terms containing q to the left, all other terms to the right. Add '0.69q' to each side of the equation. -1.4 + 0.4q + 0.69q = -5.3 + -0.69q + 0.69q Combine like terms: 0.4q + 0.69q = 1.09q -1.4 + 1.09q = -5.3 + -0.69q + 0.69q Combine like terms: -0.69q + 0.69q = 0.00 -1.4 + 1.09q = -5.3 + 0.00 -1.4 + 1.09q = -5.3 Add '1.4' to each side of the equation. -1.4 + 1.4 + 1.09q = -5.3 + 1.4 Combine like terms: -1.4 + 1.4 = 0.0 0.0 + 1.09q = -5.3 + 1.4 1.09q = -5.3 + 1.4 Combine like terms: -5.3 + 1.4 = -3.9 1.09q = -3.9 Divide each side by '1.09'. q = -3.577981651 Simplifying q = -3.577981651
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