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Simplifying 1.3q + -4.6 + -4.2q = -3.9q + -5.4 Reorder the terms: -4.6 + 1.3q + -4.2q = -3.9q + -5.4 Combine like terms: 1.3q + -4.2q = -2.9q -4.6 + -2.9q = -3.9q + -5.4 Reorder the terms: -4.6 + -2.9q = -5.4 + -3.9q Solving -4.6 + -2.9q = -5.4 + -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. -4.6 + -2.9q + 3.9q = -5.4 + -3.9q + 3.9q Combine like terms: -2.9q + 3.9q = 1q -4.6 + 1q = -5.4 + -3.9q + 3.9q Combine like terms: -3.9q + 3.9q = 0.0 -4.6 + 1q = -5.4 + 0.0 -4.6 + 1q = -5.4 Add '4.6' to each side of the equation. -4.6 + 4.6 + 1q = -5.4 + 4.6 Combine like terms: -4.6 + 4.6 = 0.0 0.0 + 1q = -5.4 + 4.6 1q = -5.4 + 4.6 Combine like terms: -5.4 + 4.6 = -0.8 1q = -0.8 Divide each side by '1'. q = -0.8 Simplifying q = -0.8
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