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Simplifying 2.2q + -5.2 + -3.6q = 2.4q + -1.3 Reorder the terms: -5.2 + 2.2q + -3.6q = 2.4q + -1.3 Combine like terms: 2.2q + -3.6q = -1.4q -5.2 + -1.4q = 2.4q + -1.3 Reorder the terms: -5.2 + -1.4q = -1.3 + 2.4q Solving -5.2 + -1.4q = -1.3 + 2.4q Solving for variable 'q'. Move all terms containing q to the left, all other terms to the right. Add '-2.4q' to each side of the equation. -5.2 + -1.4q + -2.4q = -1.3 + 2.4q + -2.4q Combine like terms: -1.4q + -2.4q = -3.8q -5.2 + -3.8q = -1.3 + 2.4q + -2.4q Combine like terms: 2.4q + -2.4q = 0.0 -5.2 + -3.8q = -1.3 + 0.0 -5.2 + -3.8q = -1.3 Add '5.2' to each side of the equation. -5.2 + 5.2 + -3.8q = -1.3 + 5.2 Combine like terms: -5.2 + 5.2 = 0.0 0.0 + -3.8q = -1.3 + 5.2 -3.8q = -1.3 + 5.2 Combine like terms: -1.3 + 5.2 = 3.9 -3.8q = 3.9 Divide each side by '-3.8'. q = -1.026315789 Simplifying q = -1.026315789
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