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Simplifying 5.8q + -4.3 + -5.2q = 0.4q + -5.2 Reorder the terms: -4.3 + 5.8q + -5.2q = 0.4q + -5.2 Combine like terms: 5.8q + -5.2q = 0.6q -4.3 + 0.6q = 0.4q + -5.2 Reorder the terms: -4.3 + 0.6q = -5.2 + 0.4q Solving -4.3 + 0.6q = -5.2 + 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. -4.3 + 0.6q + -0.4q = -5.2 + 0.4q + -0.4q Combine like terms: 0.6q + -0.4q = 0.2q -4.3 + 0.2q = -5.2 + 0.4q + -0.4q Combine like terms: 0.4q + -0.4q = 0.0 -4.3 + 0.2q = -5.2 + 0.0 -4.3 + 0.2q = -5.2 Add '4.3' to each side of the equation. -4.3 + 4.3 + 0.2q = -5.2 + 4.3 Combine like terms: -4.3 + 4.3 = 0.0 0.0 + 0.2q = -5.2 + 4.3 0.2q = -5.2 + 4.3 Combine like terms: -5.2 + 4.3 = -0.9 0.2q = -0.9 Divide each side by '0.2'. q = -4.5 Simplifying q = -4.5
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