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Simplifying 5.5q + -1.6 + -5.8q = -1.3q + -4.1 Reorder the terms: -1.6 + 5.5q + -5.8q = -1.3q + -4.1 Combine like terms: 5.5q + -5.8q = -0.3q -1.6 + -0.3q = -1.3q + -4.1 Reorder the terms: -1.6 + -0.3q = -4.1 + -1.3q Solving -1.6 + -0.3q = -4.1 + -1.3q Solving for variable 'q'. Move all terms containing q to the left, all other terms to the right. Add '1.3q' to each side of the equation. -1.6 + -0.3q + 1.3q = -4.1 + -1.3q + 1.3q Combine like terms: -0.3q + 1.3q = 1q -1.6 + 1q = -4.1 + -1.3q + 1.3q Combine like terms: -1.3q + 1.3q = 0.0 -1.6 + 1q = -4.1 + 0.0 -1.6 + 1q = -4.1 Add '1.6' to each side of the equation. -1.6 + 1.6 + 1q = -4.1 + 1.6 Combine like terms: -1.6 + 1.6 = 0.0 0.0 + 1q = -4.1 + 1.6 1q = -4.1 + 1.6 Combine like terms: -4.1 + 1.6 = -2.5 1q = -2.5 Divide each side by '1'. q = -2.5 Simplifying q = -2.5
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