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Simplifying 4.5q + -5.4 + -5.6q = 2.1q + -0.37 Reorder the terms: -5.4 + 4.5q + -5.6q = 2.1q + -0.37 Combine like terms: 4.5q + -5.6q = -1.1q -5.4 + -1.1q = 2.1q + -0.37 Reorder the terms: -5.4 + -1.1q = -0.37 + 2.1q Solving -5.4 + -1.1q = -0.37 + 2.1q Solving for variable 'q'. Move all terms containing q to the left, all other terms to the right. Add '-2.1q' to each side of the equation. -5.4 + -1.1q + -2.1q = -0.37 + 2.1q + -2.1q Combine like terms: -1.1q + -2.1q = -3.2q -5.4 + -3.2q = -0.37 + 2.1q + -2.1q Combine like terms: 2.1q + -2.1q = 0.0 -5.4 + -3.2q = -0.37 + 0.0 -5.4 + -3.2q = -0.37 Add '5.4' to each side of the equation. -5.4 + 5.4 + -3.2q = -0.37 + 5.4 Combine like terms: -5.4 + 5.4 = 0.0 0.0 + -3.2q = -0.37 + 5.4 -3.2q = -0.37 + 5.4 Combine like terms: -0.37 + 5.4 = 5.03 -3.2q = 5.03 Divide each side by '-3.2'. q = -1.571875 Simplifying q = -1.571875
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