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Simplifying 4.9q + -4.5 + -5.8q = -1.9q + -4.6 Reorder the terms: -4.5 + 4.9q + -5.8q = -1.9q + -4.6 Combine like terms: 4.9q + -5.8q = -0.9q -4.5 + -0.9q = -1.9q + -4.6 Reorder the terms: -4.5 + -0.9q = -4.6 + -1.9q Solving -4.5 + -0.9q = -4.6 + -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. -4.5 + -0.9q + 1.9q = -4.6 + -1.9q + 1.9q Combine like terms: -0.9q + 1.9q = 1q -4.5 + 1q = -4.6 + -1.9q + 1.9q Combine like terms: -1.9q + 1.9q = 0.0 -4.5 + 1q = -4.6 + 0.0 -4.5 + 1q = -4.6 Add '4.5' to each side of the equation. -4.5 + 4.5 + 1q = -4.6 + 4.5 Combine like terms: -4.5 + 4.5 = 0.0 0.0 + 1q = -4.6 + 4.5 1q = -4.6 + 4.5 Combine like terms: -4.6 + 4.5 = -0.1 1q = -0.1 Divide each side by '1'. q = -0.1 Simplifying q = -0.1
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