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Simplifying 2.8q + -1.6 + -5.7q = -3.9q + -4.5 Reorder the terms: -1.6 + 2.8q + -5.7q = -3.9q + -4.5 Combine like terms: 2.8q + -5.7q = -2.9q -1.6 + -2.9q = -3.9q + -4.5 Reorder the terms: -1.6 + -2.9q = -4.5 + -3.9q Solving -1.6 + -2.9q = -4.5 + -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. -1.6 + -2.9q + 3.9q = -4.5 + -3.9q + 3.9q Combine like terms: -2.9q + 3.9q = 1q -1.6 + 1q = -4.5 + -3.9q + 3.9q Combine like terms: -3.9q + 3.9q = 0.0 -1.6 + 1q = -4.5 + 0.0 -1.6 + 1q = -4.5 Add '1.6' to each side of the equation. -1.6 + 1.6 + 1q = -4.5 + 1.6 Combine like terms: -1.6 + 1.6 = 0.0 0.0 + 1q = -4.5 + 1.6 1q = -4.5 + 1.6 Combine like terms: -4.5 + 1.6 = -2.9 1q = -2.9 Divide each side by '1'. q = -2.9 Simplifying q = -2.9
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