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Simplifying 5.8q + -2.5 + -5.2q = -0.4q + -1.1 Reorder the terms: -2.5 + 5.8q + -5.2q = -0.4q + -1.1 Combine like terms: 5.8q + -5.2q = 0.6q -2.5 + 0.6q = -0.4q + -1.1 Reorder the terms: -2.5 + 0.6q = -1.1 + -0.4q Solving -2.5 + 0.6q = -1.1 + -0.4q Solving for variable 'q'. Move all terms containing q to the left, all other terms to the right. Add '0.4q' to each side of the equation. -2.5 + 0.6q + 0.4q = -1.1 + -0.4q + 0.4q Combine like terms: 0.6q + 0.4q = 1q -2.5 + 1q = -1.1 + -0.4q + 0.4q Combine like terms: -0.4q + 0.4q = 0.0 -2.5 + 1q = -1.1 + 0.0 -2.5 + 1q = -1.1 Add '2.5' to each side of the equation. -2.5 + 2.5 + 1q = -1.1 + 2.5 Combine like terms: -2.5 + 2.5 = 0.0 0.0 + 1q = -1.1 + 2.5 1q = -1.1 + 2.5 Combine like terms: -1.1 + 2.5 = 1.4 1q = 1.4 Divide each side by '1'. q = 1.4 Simplifying q = 1.4
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