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Simplifying 2.5q + -3.2 + -4.3q = -2.8q + -4.6 Reorder the terms: -3.2 + 2.5q + -4.3q = -2.8q + -4.6 Combine like terms: 2.5q + -4.3q = -1.8q -3.2 + -1.8q = -2.8q + -4.6 Reorder the terms: -3.2 + -1.8q = -4.6 + -2.8q Solving -3.2 + -1.8q = -4.6 + -2.8q Solving for variable 'q'. Move all terms containing q to the left, all other terms to the right. Add '2.8q' to each side of the equation. -3.2 + -1.8q + 2.8q = -4.6 + -2.8q + 2.8q Combine like terms: -1.8q + 2.8q = 1q -3.2 + 1q = -4.6 + -2.8q + 2.8q Combine like terms: -2.8q + 2.8q = 0.0 -3.2 + 1q = -4.6 + 0.0 -3.2 + 1q = -4.6 Add '3.2' to each side of the equation. -3.2 + 3.2 + 1q = -4.6 + 3.2 Combine like terms: -3.2 + 3.2 = 0.0 0.0 + 1q = -4.6 + 3.2 1q = -4.6 + 3.2 Combine like terms: -4.6 + 3.2 = -1.4 1q = -1.4 Divide each side by '1'. q = -1.4 Simplifying q = -1.4
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