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Simplifying 4.3q + -1.3 + -5.3q = -2.0q + -2.3 Reorder the terms: -1.3 + 4.3q + -5.3q = -2.0q + -2.3 Combine like terms: 4.3q + -5.3q = -1q -1.3 + -1q = -2.0q + -2.3 Reorder the terms: -1.3 + -1q = -2.3 + -2.0q Solving -1.3 + -1q = -2.3 + -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. -1.3 + -1q + 2.0q = -2.3 + -2.0q + 2.0q Combine like terms: -1q + 2.0q = 1q -1.3 + 1q = -2.3 + -2.0q + 2.0q Combine like terms: -2.0q + 2.0q = 0.0 -1.3 + 1q = -2.3 + 0.0 -1.3 + 1q = -2.3 Add '1.3' to each side of the equation. -1.3 + 1.3 + 1q = -2.3 + 1.3 Combine like terms: -1.3 + 1.3 = 0.0 0.0 + 1q = -2.3 + 1.3 1q = -2.3 + 1.3 Combine like terms: -2.3 + 1.3 = -1 1q = -1 Divide each side by '1'. q = -1 Simplifying q = -1
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