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Simplifying 1.3q + -5.1 + -2.3q = -2.0q + -2.6 Reorder the terms: -5.1 + 1.3q + -2.3q = -2.0q + -2.6 Combine like terms: 1.3q + -2.3q = -1q -5.1 + -1q = -2.0q + -2.6 Reorder the terms: -5.1 + -1q = -2.6 + -2.0q Solving -5.1 + -1q = -2.6 + -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. -5.1 + -1q + 2.0q = -2.6 + -2.0q + 2.0q Combine like terms: -1q + 2.0q = 1q -5.1 + 1q = -2.6 + -2.0q + 2.0q Combine like terms: -2.0q + 2.0q = 0.0 -5.1 + 1q = -2.6 + 0.0 -5.1 + 1q = -2.6 Add '5.1' to each side of the equation. -5.1 + 5.1 + 1q = -2.6 + 5.1 Combine like terms: -5.1 + 5.1 = 0.0 0.0 + 1q = -2.6 + 5.1 1q = -2.6 + 5.1 Combine like terms: -2.6 + 5.1 = 2.5 1q = 2.5 Divide each side by '1'. q = 2.5 Simplifying q = 2.5
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