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Simplifying 18.9q + -17.88 = 4.9q + 15.4q + 2.42 Reorder the terms: -17.88 + 18.9q = 4.9q + 15.4q + 2.42 Reorder the terms: -17.88 + 18.9q = 2.42 + 4.9q + 15.4q Combine like terms: 4.9q + 15.4q = 20.3q -17.88 + 18.9q = 2.42 + 20.3q Solving -17.88 + 18.9q = 2.42 + 20.3q Solving for variable 'q'. Move all terms containing q to the left, all other terms to the right. Add '-20.3q' to each side of the equation. -17.88 + 18.9q + -20.3q = 2.42 + 20.3q + -20.3q Combine like terms: 18.9q + -20.3q = -1.4q -17.88 + -1.4q = 2.42 + 20.3q + -20.3q Combine like terms: 20.3q + -20.3q = 0.0 -17.88 + -1.4q = 2.42 + 0.0 -17.88 + -1.4q = 2.42 Add '17.88' to each side of the equation. -17.88 + 17.88 + -1.4q = 2.42 + 17.88 Combine like terms: -17.88 + 17.88 = 0.00 0.00 + -1.4q = 2.42 + 17.88 -1.4q = 2.42 + 17.88 Combine like terms: 2.42 + 17.88 = 20.3 -1.4q = 20.3 Divide each side by '-1.4'. q = -14.5 Simplifying q = -14.5
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