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Simplifying 2.7q + -1.8 + -5.7q = -4.0q + -1.3 Reorder the terms: -1.8 + 2.7q + -5.7q = -4.0q + -1.3 Combine like terms: 2.7q + -5.7q = -3q -1.8 + -3q = -4.0q + -1.3 Reorder the terms: -1.8 + -3q = -1.3 + -4.0q Solving -1.8 + -3q = -1.3 + -4.0q Solving for variable 'q'. Move all terms containing q to the left, all other terms to the right. Add '4.0q' to each side of the equation. -1.8 + -3q + 4.0q = -1.3 + -4.0q + 4.0q Combine like terms: -3q + 4.0q = 1q -1.8 + 1q = -1.3 + -4.0q + 4.0q Combine like terms: -4.0q + 4.0q = 0.0 -1.8 + 1q = -1.3 + 0.0 -1.8 + 1q = -1.3 Add '1.8' to each side of the equation. -1.8 + 1.8 + 1q = -1.3 + 1.8 Combine like terms: -1.8 + 1.8 = 0.0 0.0 + 1q = -1.3 + 1.8 1q = -1.3 + 1.8 Combine like terms: -1.3 + 1.8 = 0.5 1q = 0.5 Divide each side by '1'. q = 0.5 Simplifying q = 0.5
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