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Simplifying 2.5q + -4.8 + -4.5q = -3.0q + -5.1 Reorder the terms: -4.8 + 2.5q + -4.5q = -3.0q + -5.1 Combine like terms: 2.5q + -4.5q = -2q -4.8 + -2q = -3.0q + -5.1 Reorder the terms: -4.8 + -2q = -5.1 + -3.0q Solving -4.8 + -2q = -5.1 + -3.0q Solving for variable 'q'. Move all terms containing q to the left, all other terms to the right. Add '3.0q' to each side of the equation. -4.8 + -2q + 3.0q = -5.1 + -3.0q + 3.0q Combine like terms: -2q + 3.0q = 1q -4.8 + 1q = -5.1 + -3.0q + 3.0q Combine like terms: -3.0q + 3.0q = 0.0 -4.8 + 1q = -5.1 + 0.0 -4.8 + 1q = -5.1 Add '4.8' to each side of the equation. -4.8 + 4.8 + 1q = -5.1 + 4.8 Combine like terms: -4.8 + 4.8 = 0.0 0.0 + 1q = -5.1 + 4.8 1q = -5.1 + 4.8 Combine like terms: -5.1 + 4.8 = -0.3 1q = -0.3 Divide each side by '1'. q = -0.3 Simplifying q = -0.3
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