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Simplifying 3.8q + -2.4 + -4.8q = 2.0q + -1.6 Reorder the terms: -2.4 + 3.8q + -4.8q = 2.0q + -1.6 Combine like terms: 3.8q + -4.8q = -1q -2.4 + -1q = 2.0q + -1.6 Reorder the terms: -2.4 + -1q = -1.6 + 2.0q Solving -2.4 + -1q = -1.6 + 2.0q Solving for variable 'q'. Move all terms containing q to the left, all other terms to the right. Add '-2.0q' to each side of the equation. -2.4 + -1q + -2.0q = -1.6 + 2.0q + -2.0q Combine like terms: -1q + -2.0q = -3q -2.4 + -3q = -1.6 + 2.0q + -2.0q Combine like terms: 2.0q + -2.0q = 0.0 -2.4 + -3q = -1.6 + 0.0 -2.4 + -3q = -1.6 Add '2.4' to each side of the equation. -2.4 + 2.4 + -3q = -1.6 + 2.4 Combine like terms: -2.4 + 2.4 = 0.0 0.0 + -3q = -1.6 + 2.4 -3q = -1.6 + 2.4 Combine like terms: -1.6 + 2.4 = 0.8 -3q = 0.8 Divide each side by '-3'. q = -0.2666666667 Simplifying q = -0.2666666667
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