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Simplifying 5.5q + -3.2 + -5.8q = 1.3q + -2.1 Reorder the terms: -3.2 + 5.5q + -5.8q = 1.3q + -2.1 Combine like terms: 5.5q + -5.8q = -0.3q -3.2 + -0.3q = 1.3q + -2.1 Reorder the terms: -3.2 + -0.3q = -2.1 + 1.3q Solving -3.2 + -0.3q = -2.1 + 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. -3.2 + -0.3q + -1.3q = -2.1 + 1.3q + -1.3q Combine like terms: -0.3q + -1.3q = -1.6q -3.2 + -1.6q = -2.1 + 1.3q + -1.3q Combine like terms: 1.3q + -1.3q = 0.0 -3.2 + -1.6q = -2.1 + 0.0 -3.2 + -1.6q = -2.1 Add '3.2' to each side of the equation. -3.2 + 3.2 + -1.6q = -2.1 + 3.2 Combine like terms: -3.2 + 3.2 = 0.0 0.0 + -1.6q = -2.1 + 3.2 -1.6q = -2.1 + 3.2 Combine like terms: -2.1 + 3.2 = 1.1 -1.6q = 1.1 Divide each side by '-1.6'. q = -0.6875 Simplifying q = -0.6875
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