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Simplifying 2.3q + -3.2 + -4.7q = 3.4q + -4.4 Reorder the terms: -3.2 + 2.3q + -4.7q = 3.4q + -4.4 Combine like terms: 2.3q + -4.7q = -2.4q -3.2 + -2.4q = 3.4q + -4.4 Reorder the terms: -3.2 + -2.4q = -4.4 + 3.4q Solving -3.2 + -2.4q = -4.4 + 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. -3.2 + -2.4q + -3.4q = -4.4 + 3.4q + -3.4q Combine like terms: -2.4q + -3.4q = -5.8q -3.2 + -5.8q = -4.4 + 3.4q + -3.4q Combine like terms: 3.4q + -3.4q = 0.0 -3.2 + -5.8q = -4.4 + 0.0 -3.2 + -5.8q = -4.4 Add '3.2' to each side of the equation. -3.2 + 3.2 + -5.8q = -4.4 + 3.2 Combine like terms: -3.2 + 3.2 = 0.0 0.0 + -5.8q = -4.4 + 3.2 -5.8q = -4.4 + 3.2 Combine like terms: -4.4 + 3.2 = -1.2 -5.8q = -1.2 Divide each side by '-5.8'. q = 0.2068965517 Simplifying q = 0.2068965517
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