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Simplifying 3.2q + -5.3 + -2.5q = -0.3q + -4.5 Reorder the terms: -5.3 + 3.2q + -2.5q = -0.3q + -4.5 Combine like terms: 3.2q + -2.5q = 0.7q -5.3 + 0.7q = -0.3q + -4.5 Reorder the terms: -5.3 + 0.7q = -4.5 + -0.3q Solving -5.3 + 0.7q = -4.5 + -0.3q Solving for variable 'q'. Move all terms containing q to the left, all other terms to the right. Add '0.3q' to each side of the equation. -5.3 + 0.7q + 0.3q = -4.5 + -0.3q + 0.3q Combine like terms: 0.7q + 0.3q = 1q -5.3 + 1q = -4.5 + -0.3q + 0.3q Combine like terms: -0.3q + 0.3q = 0.0 -5.3 + 1q = -4.5 + 0.0 -5.3 + 1q = -4.5 Add '5.3' to each side of the equation. -5.3 + 5.3 + 1q = -4.5 + 5.3 Combine like terms: -5.3 + 5.3 = 0.0 0.0 + 1q = -4.5 + 5.3 1q = -4.5 + 5.3 Combine like terms: -4.5 + 5.3 = 0.8 1q = 0.8 Divide each side by '1'. q = 0.8 Simplifying q = 0.8
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