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Simplifying 2.9q + -3.6 + -5.8q = -3.9q + -4.7 Reorder the terms: -3.6 + 2.9q + -5.8q = -3.9q + -4.7 Combine like terms: 2.9q + -5.8q = -2.9q -3.6 + -2.9q = -3.9q + -4.7 Reorder the terms: -3.6 + -2.9q = -4.7 + -3.9q Solving -3.6 + -2.9q = -4.7 + -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. -3.6 + -2.9q + 3.9q = -4.7 + -3.9q + 3.9q Combine like terms: -2.9q + 3.9q = 1q -3.6 + 1q = -4.7 + -3.9q + 3.9q Combine like terms: -3.9q + 3.9q = 0.0 -3.6 + 1q = -4.7 + 0.0 -3.6 + 1q = -4.7 Add '3.6' to each side of the equation. -3.6 + 3.6 + 1q = -4.7 + 3.6 Combine like terms: -3.6 + 3.6 = 0.0 0.0 + 1q = -4.7 + 3.6 1q = -4.7 + 3.6 Combine like terms: -4.7 + 3.6 = -1.1 1q = -1.1 Divide each side by '1'. q = -1.1 Simplifying q = -1.1
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