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Simplifying 1.7q + -4.1 + -5.9q = 5.2q + -3.4 Reorder the terms: -4.1 + 1.7q + -5.9q = 5.2q + -3.4 Combine like terms: 1.7q + -5.9q = -4.2q -4.1 + -4.2q = 5.2q + -3.4 Reorder the terms: -4.1 + -4.2q = -3.4 + 5.2q Solving -4.1 + -4.2q = -3.4 + 5.2q Solving for variable 'q'. Move all terms containing q to the left, all other terms to the right. Add '-5.2q' to each side of the equation. -4.1 + -4.2q + -5.2q = -3.4 + 5.2q + -5.2q Combine like terms: -4.2q + -5.2q = -9.4q -4.1 + -9.4q = -3.4 + 5.2q + -5.2q Combine like terms: 5.2q + -5.2q = 0.0 -4.1 + -9.4q = -3.4 + 0.0 -4.1 + -9.4q = -3.4 Add '4.1' to each side of the equation. -4.1 + 4.1 + -9.4q = -3.4 + 4.1 Combine like terms: -4.1 + 4.1 = 0.0 0.0 + -9.4q = -3.4 + 4.1 -9.4q = -3.4 + 4.1 Combine like terms: -3.4 + 4.1 = 0.7 -9.4q = 0.7 Divide each side by '-9.4'. q = -0.07446808511 Simplifying q = -0.07446808511
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