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Simplifying 1.8q + -5.8 + -4.2q = -3.4q + -4.1 Reorder the terms: -5.8 + 1.8q + -4.2q = -3.4q + -4.1 Combine like terms: 1.8q + -4.2q = -2.4q -5.8 + -2.4q = -3.4q + -4.1 Reorder the terms: -5.8 + -2.4q = -4.1 + -3.4q Solving -5.8 + -2.4q = -4.1 + -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. -5.8 + -2.4q + 3.4q = -4.1 + -3.4q + 3.4q Combine like terms: -2.4q + 3.4q = 1q -5.8 + 1q = -4.1 + -3.4q + 3.4q Combine like terms: -3.4q + 3.4q = 0.0 -5.8 + 1q = -4.1 + 0.0 -5.8 + 1q = -4.1 Add '5.8' to each side of the equation. -5.8 + 5.8 + 1q = -4.1 + 5.8 Combine like terms: -5.8 + 5.8 = 0.0 0.0 + 1q = -4.1 + 5.8 1q = -4.1 + 5.8 Combine like terms: -4.1 + 5.8 = 1.7 1q = 1.7 Divide each side by '1'. q = 1.7 Simplifying q = 1.7
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