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Simplifying 1.6q + -4.1 + -3.5q = -2.9q + -5.1 Reorder the terms: -4.1 + 1.6q + -3.5q = -2.9q + -5.1 Combine like terms: 1.6q + -3.5q = -1.9q -4.1 + -1.9q = -2.9q + -5.1 Reorder the terms: -4.1 + -1.9q = -5.1 + -2.9q Solving -4.1 + -1.9q = -5.1 + -2.9q Solving for variable 'q'. Move all terms containing q to the left, all other terms to the right. Add '2.9q' to each side of the equation. -4.1 + -1.9q + 2.9q = -5.1 + -2.9q + 2.9q Combine like terms: -1.9q + 2.9q = 1q -4.1 + 1q = -5.1 + -2.9q + 2.9q Combine like terms: -2.9q + 2.9q = 0.0 -4.1 + 1q = -5.1 + 0.0 -4.1 + 1q = -5.1 Add '4.1' to each side of the equation. -4.1 + 4.1 + 1q = -5.1 + 4.1 Combine like terms: -4.1 + 4.1 = 0.0 0.0 + 1q = -5.1 + 4.1 1q = -5.1 + 4.1 Combine like terms: -5.1 + 4.1 = -1 1q = -1 Divide each side by '1'. q = -1 Simplifying q = -1
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