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Simplifying 5.7q + -1.7 + -4.8q = 0.1q + -1.1 Reorder the terms: -1.7 + 5.7q + -4.8q = 0.1q + -1.1 Combine like terms: 5.7q + -4.8q = 0.9q -1.7 + 0.9q = 0.1q + -1.1 Reorder the terms: -1.7 + 0.9q = -1.1 + 0.1q Solving -1.7 + 0.9q = -1.1 + 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. -1.7 + 0.9q + -0.1q = -1.1 + 0.1q + -0.1q Combine like terms: 0.9q + -0.1q = 0.8q -1.7 + 0.8q = -1.1 + 0.1q + -0.1q Combine like terms: 0.1q + -0.1q = 0.0 -1.7 + 0.8q = -1.1 + 0.0 -1.7 + 0.8q = -1.1 Add '1.7' to each side of the equation. -1.7 + 1.7 + 0.8q = -1.1 + 1.7 Combine like terms: -1.7 + 1.7 = 0.0 0.0 + 0.8q = -1.1 + 1.7 0.8q = -1.1 + 1.7 Combine like terms: -1.1 + 1.7 = 0.6 0.8q = 0.6 Divide each side by '0.8'. q = 0.75 Simplifying q = 0.75
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