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Simplifying 5.7q + -5.4 + -5.8q = 1.1q + -4.8 Reorder the terms: -5.4 + 5.7q + -5.8q = 1.1q + -4.8 Combine like terms: 5.7q + -5.8q = -0.1q -5.4 + -0.1q = 1.1q + -4.8 Reorder the terms: -5.4 + -0.1q = -4.8 + 1.1q Solving -5.4 + -0.1q = -4.8 + 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. -5.4 + -0.1q + -1.1q = -4.8 + 1.1q + -1.1q Combine like terms: -0.1q + -1.1q = -1.2q -5.4 + -1.2q = -4.8 + 1.1q + -1.1q Combine like terms: 1.1q + -1.1q = 0.0 -5.4 + -1.2q = -4.8 + 0.0 -5.4 + -1.2q = -4.8 Add '5.4' to each side of the equation. -5.4 + 5.4 + -1.2q = -4.8 + 5.4 Combine like terms: -5.4 + 5.4 = 0.0 0.0 + -1.2q = -4.8 + 5.4 -1.2q = -4.8 + 5.4 Combine like terms: -4.8 + 5.4 = 0.6 -1.2q = 0.6 Divide each side by '-1.2'. q = -0.5 Simplifying q = -0.5
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