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Simplifying 4.7q + -4.2 + -5.6q = -1.9q + -1.6 Reorder the terms: -4.2 + 4.7q + -5.6q = -1.9q + -1.6 Combine like terms: 4.7q + -5.6q = -0.9q -4.2 + -0.9q = -1.9q + -1.6 Reorder the terms: -4.2 + -0.9q = -1.6 + -1.9q Solving -4.2 + -0.9q = -1.6 + -1.9q Solving for variable 'q'. Move all terms containing q to the left, all other terms to the right. Add '1.9q' to each side of the equation. -4.2 + -0.9q + 1.9q = -1.6 + -1.9q + 1.9q Combine like terms: -0.9q + 1.9q = 1q -4.2 + 1q = -1.6 + -1.9q + 1.9q Combine like terms: -1.9q + 1.9q = 0.0 -4.2 + 1q = -1.6 + 0.0 -4.2 + 1q = -1.6 Add '4.2' to each side of the equation. -4.2 + 4.2 + 1q = -1.6 + 4.2 Combine like terms: -4.2 + 4.2 = 0.0 0.0 + 1q = -1.6 + 4.2 1q = -1.6 + 4.2 Combine like terms: -1.6 + 4.2 = 2.6 1q = 2.6 Divide each side by '1'. q = 2.6 Simplifying q = 2.6
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