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Simplifying 5.8q + -2.8 + -5.2q = 0.4q + -2.2 Reorder the terms: -2.8 + 5.8q + -5.2q = 0.4q + -2.2 Combine like terms: 5.8q + -5.2q = 0.6q -2.8 + 0.6q = 0.4q + -2.2 Reorder the terms: -2.8 + 0.6q = -2.2 + 0.4q Solving -2.8 + 0.6q = -2.2 + 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. -2.8 + 0.6q + -0.4q = -2.2 + 0.4q + -0.4q Combine like terms: 0.6q + -0.4q = 0.2q -2.8 + 0.2q = -2.2 + 0.4q + -0.4q Combine like terms: 0.4q + -0.4q = 0.0 -2.8 + 0.2q = -2.2 + 0.0 -2.8 + 0.2q = -2.2 Add '2.8' to each side of the equation. -2.8 + 2.8 + 0.2q = -2.2 + 2.8 Combine like terms: -2.8 + 2.8 = 0.0 0.0 + 0.2q = -2.2 + 2.8 0.2q = -2.2 + 2.8 Combine like terms: -2.2 + 2.8 = 0.6 0.2q = 0.6 Divide each side by '0.2'. q = 3 Simplifying q = 3
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