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Simplifying 2.4q + -3.2 + -3.8q = 2.4q + -3.9 Reorder the terms: -3.2 + 2.4q + -3.8q = 2.4q + -3.9 Combine like terms: 2.4q + -3.8q = -1.4q -3.2 + -1.4q = 2.4q + -3.9 Reorder the terms: -3.2 + -1.4q = -3.9 + 2.4q Solving -3.2 + -1.4q = -3.9 + 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. -3.2 + -1.4q + -2.4q = -3.9 + 2.4q + -2.4q Combine like terms: -1.4q + -2.4q = -3.8q -3.2 + -3.8q = -3.9 + 2.4q + -2.4q Combine like terms: 2.4q + -2.4q = 0.0 -3.2 + -3.8q = -3.9 + 0.0 -3.2 + -3.8q = -3.9 Add '3.2' to each side of the equation. -3.2 + 3.2 + -3.8q = -3.9 + 3.2 Combine like terms: -3.2 + 3.2 = 0.0 0.0 + -3.8q = -3.9 + 3.2 -3.8q = -3.9 + 3.2 Combine like terms: -3.9 + 3.2 = -0.7 -3.8q = -0.7 Divide each side by '-3.8'. q = 0.1842105263 Simplifying q = 0.1842105263
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