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Simplifying 3.8q + -5.2 + -5.7q = 2.9q + -4.3 Reorder the terms: -5.2 + 3.8q + -5.7q = 2.9q + -4.3 Combine like terms: 3.8q + -5.7q = -1.9q -5.2 + -1.9q = 2.9q + -4.3 Reorder the terms: -5.2 + -1.9q = -4.3 + 2.9q Solving -5.2 + -1.9q = -4.3 + 2.9q Solving for variable 'q'. Move all terms containing q to the left, all other terms to the right. Add '-2.9q' to each side of the equation. -5.2 + -1.9q + -2.9q = -4.3 + 2.9q + -2.9q Combine like terms: -1.9q + -2.9q = -4.8q -5.2 + -4.8q = -4.3 + 2.9q + -2.9q Combine like terms: 2.9q + -2.9q = 0.0 -5.2 + -4.8q = -4.3 + 0.0 -5.2 + -4.8q = -4.3 Add '5.2' to each side of the equation. -5.2 + 5.2 + -4.8q = -4.3 + 5.2 Combine like terms: -5.2 + 5.2 = 0.0 0.0 + -4.8q = -4.3 + 5.2 -4.8q = -4.3 + 5.2 Combine like terms: -4.3 + 5.2 = 0.9 -4.8q = 0.9 Divide each side by '-4.8'. q = -0.1875 Simplifying q = -0.1875
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