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Simplifying 5.2q + -1.2 + -5.3q = 1.1q + -1.8 Reorder the terms: -1.2 + 5.2q + -5.3q = 1.1q + -1.8 Combine like terms: 5.2q + -5.3q = -0.1q -1.2 + -0.1q = 1.1q + -1.8 Reorder the terms: -1.2 + -0.1q = -1.8 + 1.1q Solving -1.2 + -0.1q = -1.8 + 1.1q Solving for variable 'q'. Move all terms containing q to the left, all other terms to the right. Add '-1.1q' to each side of the equation. -1.2 + -0.1q + -1.1q = -1.8 + 1.1q + -1.1q Combine like terms: -0.1q + -1.1q = -1.2q -1.2 + -1.2q = -1.8 + 1.1q + -1.1q Combine like terms: 1.1q + -1.1q = 0.0 -1.2 + -1.2q = -1.8 + 0.0 -1.2 + -1.2q = -1.8 Add '1.2' to each side of the equation. -1.2 + 1.2 + -1.2q = -1.8 + 1.2 Combine like terms: -1.2 + 1.2 = 0.0 0.0 + -1.2q = -1.8 + 1.2 -1.2q = -1.8 + 1.2 Combine like terms: -1.8 + 1.2 = -0.6 -1.2q = -0.6 Divide each side by '-1.2'. q = 0.5 Simplifying q = 0.5
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