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Simplifying 2.9q + -4.2 + -5.6q = -3.7q + -3.2 Reorder the terms: -4.2 + 2.9q + -5.6q = -3.7q + -3.2 Combine like terms: 2.9q + -5.6q = -2.7q -4.2 + -2.7q = -3.7q + -3.2 Reorder the terms: -4.2 + -2.7q = -3.2 + -3.7q Solving -4.2 + -2.7q = -3.2 + -3.7q Solving for variable 'q'. Move all terms containing q to the left, all other terms to the right. Add '3.7q' to each side of the equation. -4.2 + -2.7q + 3.7q = -3.2 + -3.7q + 3.7q Combine like terms: -2.7q + 3.7q = 1q -4.2 + 1q = -3.2 + -3.7q + 3.7q Combine like terms: -3.7q + 3.7q = 0.0 -4.2 + 1q = -3.2 + 0.0 -4.2 + 1q = -3.2 Add '4.2' to each side of the equation. -4.2 + 4.2 + 1q = -3.2 + 4.2 Combine like terms: -4.2 + 4.2 = 0.0 0.0 + 1q = -3.2 + 4.2 1q = -3.2 + 4.2 Combine like terms: -3.2 + 4.2 = 1 1q = 1 Divide each side by '1'. q = 1 Simplifying q = 1
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