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Simplifying 5.3q + -3.6 + -4.5q = -0.2q + -1.8 Reorder the terms: -3.6 + 5.3q + -4.5q = -0.2q + -1.8 Combine like terms: 5.3q + -4.5q = 0.8q -3.6 + 0.8q = -0.2q + -1.8 Reorder the terms: -3.6 + 0.8q = -1.8 + -0.2q Solving -3.6 + 0.8q = -1.8 + -0.2q Solving for variable 'q'. Move all terms containing q to the left, all other terms to the right. Add '0.2q' to each side of the equation. -3.6 + 0.8q + 0.2q = -1.8 + -0.2q + 0.2q Combine like terms: 0.8q + 0.2q = 1q -3.6 + 1q = -1.8 + -0.2q + 0.2q Combine like terms: -0.2q + 0.2q = 0.0 -3.6 + 1q = -1.8 + 0.0 -3.6 + 1q = -1.8 Add '3.6' to each side of the equation. -3.6 + 3.6 + 1q = -1.8 + 3.6 Combine like terms: -3.6 + 3.6 = 0.0 0.0 + 1q = -1.8 + 3.6 1q = -1.8 + 3.6 Combine like terms: -1.8 + 3.6 = 1.8 1q = 1.8 Divide each side by '1'. q = 1.8 Simplifying q = 1.8
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