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Simplifying 1.6q + -2.3 + -5.2 = -4.6q + -5.4 Reorder the terms: -2.3 + -5.2 + 1.6q = -4.6q + -5.4 Combine like terms: -2.3 + -5.2 = -7.5 -7.5 + 1.6q = -4.6q + -5.4 Reorder the terms: -7.5 + 1.6q = -5.4 + -4.6q Solving -7.5 + 1.6q = -5.4 + -4.6q Solving for variable 'q'. Move all terms containing q to the left, all other terms to the right. Add '4.6q' to each side of the equation. -7.5 + 1.6q + 4.6q = -5.4 + -4.6q + 4.6q Combine like terms: 1.6q + 4.6q = 6.2q -7.5 + 6.2q = -5.4 + -4.6q + 4.6q Combine like terms: -4.6q + 4.6q = 0.0 -7.5 + 6.2q = -5.4 + 0.0 -7.5 + 6.2q = -5.4 Add '7.5' to each side of the equation. -7.5 + 7.5 + 6.2q = -5.4 + 7.5 Combine like terms: -7.5 + 7.5 = 0.0 0.0 + 6.2q = -5.4 + 7.5 6.2q = -5.4 + 7.5 Combine like terms: -5.4 + 7.5 = 2.1 6.2q = 2.1 Divide each side by '6.2'. q = 0.3387096774 Simplifying q = 0.3387096774
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