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Simplifying 1.8q + -5.5 + -4.2q = -3.4q + -41 Reorder the terms: -5.5 + 1.8q + -4.2q = -3.4q + -41 Combine like terms: 1.8q + -4.2q = -2.4q -5.5 + -2.4q = -3.4q + -41 Reorder the terms: -5.5 + -2.4q = -41 + -3.4q Solving -5.5 + -2.4q = -41 + -3.4q Solving for variable 'q'. Move all terms containing q to the left, all other terms to the right. Add '3.4q' to each side of the equation. -5.5 + -2.4q + 3.4q = -41 + -3.4q + 3.4q Combine like terms: -2.4q + 3.4q = 1q -5.5 + 1q = -41 + -3.4q + 3.4q Combine like terms: -3.4q + 3.4q = 0.0 -5.5 + 1q = -41 + 0.0 -5.5 + 1q = -41 Add '5.5' to each side of the equation. -5.5 + 5.5 + 1q = -41 + 5.5 Combine like terms: -5.5 + 5.5 = 0.0 0.0 + 1q = -41 + 5.5 1q = -41 + 5.5 Combine like terms: -41 + 5.5 = -35.5 1q = -35.5 Divide each side by '1'. q = -35.5 Simplifying q = -35.5
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