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Simplifying 4.3q + -3.2 + -4.9q = -1.6q + -5.8 Reorder the terms: -3.2 + 4.3q + -4.9q = -1.6q + -5.8 Combine like terms: 4.3q + -4.9q = -0.6q -3.2 + -0.6q = -1.6q + -5.8 Reorder the terms: -3.2 + -0.6q = -5.8 + -1.6q Solving -3.2 + -0.6q = -5.8 + -1.6q Solving for variable 'q'. Move all terms containing q to the left, all other terms to the right. Add '1.6q' to each side of the equation. -3.2 + -0.6q + 1.6q = -5.8 + -1.6q + 1.6q Combine like terms: -0.6q + 1.6q = 1q -3.2 + 1q = -5.8 + -1.6q + 1.6q Combine like terms: -1.6q + 1.6q = 0.0 -3.2 + 1q = -5.8 + 0.0 -3.2 + 1q = -5.8 Add '3.2' to each side of the equation. -3.2 + 3.2 + 1q = -5.8 + 3.2 Combine like terms: -3.2 + 3.2 = 0.0 0.0 + 1q = -5.8 + 3.2 1q = -5.8 + 3.2 Combine like terms: -5.8 + 3.2 = -2.6 1q = -2.6 Divide each side by '1'. q = -2.6 Simplifying q = -2.6
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