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Simplifying 2.9q + -2.6 + -5.8q = -3.9q + -1.6 Reorder the terms: -2.6 + 2.9q + -5.8q = -3.9q + -1.6 Combine like terms: 2.9q + -5.8q = -2.9q -2.6 + -2.9q = -3.9q + -1.6 Reorder the terms: -2.6 + -2.9q = -1.6 + -3.9q Solving -2.6 + -2.9q = -1.6 + -3.9q Solving for variable 'q'. Move all terms containing q to the left, all other terms to the right. Add '3.9q' to each side of the equation. -2.6 + -2.9q + 3.9q = -1.6 + -3.9q + 3.9q Combine like terms: -2.9q + 3.9q = 1q -2.6 + 1q = -1.6 + -3.9q + 3.9q Combine like terms: -3.9q + 3.9q = 0.0 -2.6 + 1q = -1.6 + 0.0 -2.6 + 1q = -1.6 Add '2.6' to each side of the equation. -2.6 + 2.6 + 1q = -1.6 + 2.6 Combine like terms: -2.6 + 2.6 = 0.0 0.0 + 1q = -1.6 + 2.6 1q = -1.6 + 2.6 Combine like terms: -1.6 + 2.6 = 1 1q = 1 Divide each side by '1'. q = 1 Simplifying q = 1
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