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Simplifying 4.2q + -4.3 + -4.1q = -0.9 + -4.6 Reorder the terms: -4.3 + 4.2q + -4.1q = -0.9 + -4.6 Combine like terms: 4.2q + -4.1q = 0.1q -4.3 + 0.1q = -0.9 + -4.6 Combine like terms: -0.9 + -4.6 = -5.5 -4.3 + 0.1q = -5.5 Solving -4.3 + 0.1q = -5.5 Solving for variable 'q'. Move all terms containing q to the left, all other terms to the right. Add '4.3' to each side of the equation. -4.3 + 4.3 + 0.1q = -5.5 + 4.3 Combine like terms: -4.3 + 4.3 = 0.0 0.0 + 0.1q = -5.5 + 4.3 0.1q = -5.5 + 4.3 Combine like terms: -5.5 + 4.3 = -1.2 0.1q = -1.2 Divide each side by '0.1'. q = -12 Simplifying q = -12
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