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Simplifying 2.7q + -5.1 + -4.9q = 3.2q + -3.8 Reorder the terms: -5.1 + 2.7q + -4.9q = 3.2q + -3.8 Combine like terms: 2.7q + -4.9q = -2.2q -5.1 + -2.2q = 3.2q + -3.8 Reorder the terms: -5.1 + -2.2q = -3.8 + 3.2q Solving -5.1 + -2.2q = -3.8 + 3.2q Solving for variable 'q'. Move all terms containing q to the left, all other terms to the right. Add '-3.2q' to each side of the equation. -5.1 + -2.2q + -3.2q = -3.8 + 3.2q + -3.2q Combine like terms: -2.2q + -3.2q = -5.4q -5.1 + -5.4q = -3.8 + 3.2q + -3.2q Combine like terms: 3.2q + -3.2q = 0.0 -5.1 + -5.4q = -3.8 + 0.0 -5.1 + -5.4q = -3.8 Add '5.1' to each side of the equation. -5.1 + 5.1 + -5.4q = -3.8 + 5.1 Combine like terms: -5.1 + 5.1 = 0.0 0.0 + -5.4q = -3.8 + 5.1 -5.4q = -3.8 + 5.1 Combine like terms: -3.8 + 5.1 = 1.3 -5.4q = 1.3 Divide each side by '-5.4'. q = -0.2407407407 Simplifying q = -0.2407407407
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