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Simplifying 4.6q + -5.8 + -5.8q = -2.2q + -1.3 Reorder the terms: -5.8 + 4.6q + -5.8q = -2.2q + -1.3 Combine like terms: 4.6q + -5.8q = -1.2q -5.8 + -1.2q = -2.2q + -1.3 Reorder the terms: -5.8 + -1.2q = -1.3 + -2.2q Solving -5.8 + -1.2q = -1.3 + -2.2q Solving for variable 'q'. Move all terms containing q to the left, all other terms to the right. Add '2.2q' to each side of the equation. -5.8 + -1.2q + 2.2q = -1.3 + -2.2q + 2.2q Combine like terms: -1.2q + 2.2q = 1q -5.8 + 1q = -1.3 + -2.2q + 2.2q Combine like terms: -2.2q + 2.2q = 0.0 -5.8 + 1q = -1.3 + 0.0 -5.8 + 1q = -1.3 Add '5.8' to each side of the equation. -5.8 + 5.8 + 1q = -1.3 + 5.8 Combine like terms: -5.8 + 5.8 = 0.0 0.0 + 1q = -1.3 + 5.8 1q = -1.3 + 5.8 Combine like terms: -1.3 + 5.8 = 4.5 1q = 4.5 Divide each side by '1'. q = 4.5 Simplifying q = 4.5
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