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Simplifying 2.9q + -3.8 + -5.7 = -3.8q + -1.1 Reorder the terms: -3.8 + -5.7 + 2.9q = -3.8q + -1.1 Combine like terms: -3.8 + -5.7 = -9.5 -9.5 + 2.9q = -3.8q + -1.1 Reorder the terms: -9.5 + 2.9q = -1.1 + -3.8q Solving -9.5 + 2.9q = -1.1 + -3.8q Solving for variable 'q'. Move all terms containing q to the left, all other terms to the right. Add '3.8q' to each side of the equation. -9.5 + 2.9q + 3.8q = -1.1 + -3.8q + 3.8q Combine like terms: 2.9q + 3.8q = 6.7q -9.5 + 6.7q = -1.1 + -3.8q + 3.8q Combine like terms: -3.8q + 3.8q = 0.0 -9.5 + 6.7q = -1.1 + 0.0 -9.5 + 6.7q = -1.1 Add '9.5' to each side of the equation. -9.5 + 9.5 + 6.7q = -1.1 + 9.5 Combine like terms: -9.5 + 9.5 = 0.0 0.0 + 6.7q = -1.1 + 9.5 6.7q = -1.1 + 9.5 Combine like terms: -1.1 + 9.5 = 8.4 6.7q = 8.4 Divide each side by '6.7'. q = 1.253731343 Simplifying q = 1.253731343
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