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Simplifying 5.3q + -5.4 + -5.9q = 1.6q + -5.5 Reorder the terms: -5.4 + 5.3q + -5.9q = 1.6q + -5.5 Combine like terms: 5.3q + -5.9q = -0.6q -5.4 + -0.6q = 1.6q + -5.5 Reorder the terms: -5.4 + -0.6q = -5.5 + 1.6q Solving -5.4 + -0.6q = -5.5 + 1.6q Solving for variable 'q'. Move all terms containing q to the left, all other terms to the right. Add '-1.6q' to each side of the equation. -5.4 + -0.6q + -1.6q = -5.5 + 1.6q + -1.6q Combine like terms: -0.6q + -1.6q = -2.2q -5.4 + -2.2q = -5.5 + 1.6q + -1.6q Combine like terms: 1.6q + -1.6q = 0.0 -5.4 + -2.2q = -5.5 + 0.0 -5.4 + -2.2q = -5.5 Add '5.4' to each side of the equation. -5.4 + 5.4 + -2.2q = -5.5 + 5.4 Combine like terms: -5.4 + 5.4 = 0.0 0.0 + -2.2q = -5.5 + 5.4 -2.2q = -5.5 + 5.4 Combine like terms: -5.5 + 5.4 = -0.1 -2.2q = -0.1 Divide each side by '-2.2'. q = 0.04545454545 Simplifying q = 0.04545454545
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