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Simplifying 16.2q + -17.1 + -19.1q = 9.42 + -1.2q Reorder the terms: -17.1 + 16.2q + -19.1q = 9.42 + -1.2q Combine like terms: 16.2q + -19.1q = -2.9q -17.1 + -2.9q = 9.42 + -1.2q Solving -17.1 + -2.9q = 9.42 + -1.2q Solving for variable 'q'. Move all terms containing q to the left, all other terms to the right. Add '1.2q' to each side of the equation. -17.1 + -2.9q + 1.2q = 9.42 + -1.2q + 1.2q Combine like terms: -2.9q + 1.2q = -1.7q -17.1 + -1.7q = 9.42 + -1.2q + 1.2q Combine like terms: -1.2q + 1.2q = 0.0 -17.1 + -1.7q = 9.42 + 0.0 -17.1 + -1.7q = 9.42 Add '17.1' to each side of the equation. -17.1 + 17.1 + -1.7q = 9.42 + 17.1 Combine like terms: -17.1 + 17.1 = 0.0 0.0 + -1.7q = 9.42 + 17.1 -1.7q = 9.42 + 17.1 Combine like terms: 9.42 + 17.1 = 26.52 -1.7q = 26.52 Divide each side by '-1.7'. q = -15.6 Simplifying q = -15.6
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