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Simplifying 5.8q + -1.2 + -5.2q = -0.4 + -1.8 Reorder the terms: -1.2 + 5.8q + -5.2q = -0.4 + -1.8 Combine like terms: 5.8q + -5.2q = 0.6q -1.2 + 0.6q = -0.4 + -1.8 Combine like terms: -0.4 + -1.8 = -2.2 -1.2 + 0.6q = -2.2 Solving -1.2 + 0.6q = -2.2 Solving for variable 'q'. Move all terms containing q to the left, all other terms to the right. Add '1.2' to each side of the equation. -1.2 + 1.2 + 0.6q = -2.2 + 1.2 Combine like terms: -1.2 + 1.2 = 0.0 0.0 + 0.6q = -2.2 + 1.2 0.6q = -2.2 + 1.2 Combine like terms: -2.2 + 1.2 = -1 0.6q = -1 Divide each side by '0.6'. q = -1.666666667 Simplifying q = -1.666666667
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