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Simplifying 4.1q + -5.7 + -4.9q = -1.8q + -1.2 Reorder the terms: -5.7 + 4.1q + -4.9q = -1.8q + -1.2 Combine like terms: 4.1q + -4.9q = -0.8q -5.7 + -0.8q = -1.8q + -1.2 Reorder the terms: -5.7 + -0.8q = -1.2 + -1.8q Solving -5.7 + -0.8q = -1.2 + -1.8q Solving for variable 'q'. Move all terms containing q to the left, all other terms to the right. Add '1.8q' to each side of the equation. -5.7 + -0.8q + 1.8q = -1.2 + -1.8q + 1.8q Combine like terms: -0.8q + 1.8q = 1q -5.7 + 1q = -1.2 + -1.8q + 1.8q Combine like terms: -1.8q + 1.8q = 0.0 -5.7 + 1q = -1.2 + 0.0 -5.7 + 1q = -1.2 Add '5.7' to each side of the equation. -5.7 + 5.7 + 1q = -1.2 + 5.7 Combine like terms: -5.7 + 5.7 = 0.0 0.0 + 1q = -1.2 + 5.7 1q = -1.2 + 5.7 Combine like terms: -1.2 + 5.7 = 4.5 1q = 4.5 Divide each side by '1'. q = 4.5 Simplifying q = 4.5
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