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Simplifying 4.7q + -3.8 + -5.7q = 2.0q + -4.3 Reorder the terms: -3.8 + 4.7q + -5.7q = 2.0q + -4.3 Combine like terms: 4.7q + -5.7q = -1q -3.8 + -1q = 2.0q + -4.3 Reorder the terms: -3.8 + -1q = -4.3 + 2.0q Solving -3.8 + -1q = -4.3 + 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. -3.8 + -1q + -2.0q = -4.3 + 2.0q + -2.0q Combine like terms: -1q + -2.0q = -3q -3.8 + -3q = -4.3 + 2.0q + -2.0q Combine like terms: 2.0q + -2.0q = 0.0 -3.8 + -3q = -4.3 + 0.0 -3.8 + -3q = -4.3 Add '3.8' to each side of the equation. -3.8 + 3.8 + -3q = -4.3 + 3.8 Combine like terms: -3.8 + 3.8 = 0.0 0.0 + -3q = -4.3 + 3.8 -3q = -4.3 + 3.8 Combine like terms: -4.3 + 3.8 = -0.5 -3q = -0.5 Divide each side by '-3'. q = 0.1666666667 Simplifying q = 0.1666666667
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