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Simplifying 5.6q + -1.8 + -4.7q = 0.1q + -3.9 Reorder the terms: -1.8 + 5.6q + -4.7q = 0.1q + -3.9 Combine like terms: 5.6q + -4.7q = 0.9q -1.8 + 0.9q = 0.1q + -3.9 Reorder the terms: -1.8 + 0.9q = -3.9 + 0.1q Solving -1.8 + 0.9q = -3.9 + 0.1q Solving for variable 'q'. Move all terms containing q to the left, all other terms to the right. Add '-0.1q' to each side of the equation. -1.8 + 0.9q + -0.1q = -3.9 + 0.1q + -0.1q Combine like terms: 0.9q + -0.1q = 0.8q -1.8 + 0.8q = -3.9 + 0.1q + -0.1q Combine like terms: 0.1q + -0.1q = 0.0 -1.8 + 0.8q = -3.9 + 0.0 -1.8 + 0.8q = -3.9 Add '1.8' to each side of the equation. -1.8 + 1.8 + 0.8q = -3.9 + 1.8 Combine like terms: -1.8 + 1.8 = 0.0 0.0 + 0.8q = -3.9 + 1.8 0.8q = -3.9 + 1.8 Combine like terms: -3.9 + 1.8 = -2.1 0.8q = -2.1 Divide each side by '0.8'. q = -2.625 Simplifying q = -2.625
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