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Simplifying 5.8q + -1.2 + -5.2q = 0.4q + -1.8 Reorder the terms: -1.2 + 5.8q + -5.2q = 0.4q + -1.8 Combine like terms: 5.8q + -5.2q = 0.6q -1.2 + 0.6q = 0.4q + -1.8 Reorder the terms: -1.2 + 0.6q = -1.8 + 0.4q Solving -1.2 + 0.6q = -1.8 + 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. -1.2 + 0.6q + -0.4q = -1.8 + 0.4q + -0.4q Combine like terms: 0.6q + -0.4q = 0.2q -1.2 + 0.2q = -1.8 + 0.4q + -0.4q Combine like terms: 0.4q + -0.4q = 0.0 -1.2 + 0.2q = -1.8 + 0.0 -1.2 + 0.2q = -1.8 Add '1.2' to each side of the equation. -1.2 + 1.2 + 0.2q = -1.8 + 1.2 Combine like terms: -1.2 + 1.2 = 0.0 0.0 + 0.2q = -1.8 + 1.2 0.2q = -1.8 + 1.2 Combine like terms: -1.8 + 1.2 = -0.6 0.2q = -0.6 Divide each side by '0.2'. q = -3 Simplifying q = -3
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