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Simplifying 3.2q + -3.8 + -4.5q = -2.3q + -4.8 Reorder the terms: -3.8 + 3.2q + -4.5q = -2.3q + -4.8 Combine like terms: 3.2q + -4.5q = -1.3q -3.8 + -1.3q = -2.3q + -4.8 Reorder the terms: -3.8 + -1.3q = -4.8 + -2.3q Solving -3.8 + -1.3q = -4.8 + -2.3q Solving for variable 'q'. Move all terms containing q to the left, all other terms to the right. Add '2.3q' to each side of the equation. -3.8 + -1.3q + 2.3q = -4.8 + -2.3q + 2.3q Combine like terms: -1.3q + 2.3q = 1q -3.8 + 1q = -4.8 + -2.3q + 2.3q Combine like terms: -2.3q + 2.3q = 0.0 -3.8 + 1q = -4.8 + 0.0 -3.8 + 1q = -4.8 Add '3.8' to each side of the equation. -3.8 + 3.8 + 1q = -4.8 + 3.8 Combine like terms: -3.8 + 3.8 = 0.0 0.0 + 1q = -4.8 + 3.8 1q = -4.8 + 3.8 Combine like terms: -4.8 + 3.8 = -1 1q = -1 Divide each side by '1'. q = -1 Simplifying q = -1
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