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Simplifying 4.6q + -3.9 + -5.6q = -2.0q + -5.3 Reorder the terms: -3.9 + 4.6q + -5.6q = -2.0q + -5.3 Combine like terms: 4.6q + -5.6q = -1q -3.9 + -1q = -2.0q + -5.3 Reorder the terms: -3.9 + -1q = -5.3 + -2.0q Solving -3.9 + -1q = -5.3 + -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. -3.9 + -1q + 2.0q = -5.3 + -2.0q + 2.0q Combine like terms: -1q + 2.0q = 1q -3.9 + 1q = -5.3 + -2.0q + 2.0q Combine like terms: -2.0q + 2.0q = 0.0 -3.9 + 1q = -5.3 + 0.0 -3.9 + 1q = -5.3 Add '3.9' to each side of the equation. -3.9 + 3.9 + 1q = -5.3 + 3.9 Combine like terms: -3.9 + 3.9 = 0.0 0.0 + 1q = -5.3 + 3.9 1q = -5.3 + 3.9 Combine like terms: -5.3 + 3.9 = -1.4 1q = -1.4 Divide each side by '1'. q = -1.4 Simplifying q = -1.4
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