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Simplifying 4.5q + -5.2 + -5.6q = 2.1q + -2.1 Reorder the terms: -5.2 + 4.5q + -5.6q = 2.1q + -2.1 Combine like terms: 4.5q + -5.6q = -1.1q -5.2 + -1.1q = 2.1q + -2.1 Reorder the terms: -5.2 + -1.1q = -2.1 + 2.1q Solving -5.2 + -1.1q = -2.1 + 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. -5.2 + -1.1q + -2.1q = -2.1 + 2.1q + -2.1q Combine like terms: -1.1q + -2.1q = -3.2q -5.2 + -3.2q = -2.1 + 2.1q + -2.1q Combine like terms: 2.1q + -2.1q = 0.0 -5.2 + -3.2q = -2.1 + 0.0 -5.2 + -3.2q = -2.1 Add '5.2' to each side of the equation. -5.2 + 5.2 + -3.2q = -2.1 + 5.2 Combine like terms: -5.2 + 5.2 = 0.0 0.0 + -3.2q = -2.1 + 5.2 -3.2q = -2.1 + 5.2 Combine like terms: -2.1 + 5.2 = 3.1 -3.2q = 3.1 Divide each side by '-3.2'. q = -0.96875 Simplifying q = -0.96875
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