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Simplifying 3.2q + -1.6 + -5.1q = -2.9q + -2.5 Reorder the terms: -1.6 + 3.2q + -5.1q = -2.9q + -2.5 Combine like terms: 3.2q + -5.1q = -1.9q -1.6 + -1.9q = -2.9q + -2.5 Reorder the terms: -1.6 + -1.9q = -2.5 + -2.9q Solving -1.6 + -1.9q = -2.5 + -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. -1.6 + -1.9q + 2.9q = -2.5 + -2.9q + 2.9q Combine like terms: -1.9q + 2.9q = 1q -1.6 + 1q = -2.5 + -2.9q + 2.9q Combine like terms: -2.9q + 2.9q = 0.0 -1.6 + 1q = -2.5 + 0.0 -1.6 + 1q = -2.5 Add '1.6' to each side of the equation. -1.6 + 1.6 + 1q = -2.5 + 1.6 Combine like terms: -1.6 + 1.6 = 0.0 0.0 + 1q = -2.5 + 1.6 1q = -2.5 + 1.6 Combine like terms: -2.5 + 1.6 = -0.9 1q = -0.9 Divide each side by '1'. q = -0.9 Simplifying q = -0.9
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