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Simplifying 5.4q + -4.8 + -5.7q = -1.3q + -2.5 Reorder the terms: -4.8 + 5.4q + -5.7q = -1.3q + -2.5 Combine like terms: 5.4q + -5.7q = -0.3q -4.8 + -0.3q = -1.3q + -2.5 Reorder the terms: -4.8 + -0.3q = -2.5 + -1.3q Solving -4.8 + -0.3q = -2.5 + -1.3q Solving for variable 'q'. Move all terms containing q to the left, all other terms to the right. Add '1.3q' to each side of the equation. -4.8 + -0.3q + 1.3q = -2.5 + -1.3q + 1.3q Combine like terms: -0.3q + 1.3q = 1q -4.8 + 1q = -2.5 + -1.3q + 1.3q Combine like terms: -1.3q + 1.3q = 0.0 -4.8 + 1q = -2.5 + 0.0 -4.8 + 1q = -2.5 Add '4.8' to each side of the equation. -4.8 + 4.8 + 1q = -2.5 + 4.8 Combine like terms: -4.8 + 4.8 = 0.0 0.0 + 1q = -2.5 + 4.8 1q = -2.5 + 4.8 Combine like terms: -2.5 + 4.8 = 2.3 1q = 2.3 Divide each side by '1'. q = 2.3 Simplifying q = 2.3
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