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Simplifying 4.2q + -4.3 + -4.1q = -0.9q + -4.6 Reorder the terms: -4.3 + 4.2q + -4.1q = -0.9q + -4.6 Combine like terms: 4.2q + -4.1q = 0.1q -4.3 + 0.1q = -0.9q + -4.6 Reorder the terms: -4.3 + 0.1q = -4.6 + -0.9q Solving -4.3 + 0.1q = -4.6 + -0.9q Solving for variable 'q'. Move all terms containing q to the left, all other terms to the right. Add '0.9q' to each side of the equation. -4.3 + 0.1q + 0.9q = -4.6 + -0.9q + 0.9q Combine like terms: 0.1q + 0.9q = 1q -4.3 + 1q = -4.6 + -0.9q + 0.9q Combine like terms: -0.9q + 0.9q = 0.0 -4.3 + 1q = -4.6 + 0.0 -4.3 + 1q = -4.6 Add '4.3' to each side of the equation. -4.3 + 4.3 + 1q = -4.6 + 4.3 Combine like terms: -4.3 + 4.3 = 0.0 0.0 + 1q = -4.6 + 4.3 1q = -4.6 + 4.3 Combine like terms: -4.6 + 4.3 = -0.3 1q = -0.3 Divide each side by '1'. q = -0.3 Simplifying q = -0.3
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