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Simplifying 4.9q + -1.6 + -4.1q = -0.2 + -3.2 Reorder the terms: -1.6 + 4.9q + -4.1q = -0.2 + -3.2 Combine like terms: 4.9q + -4.1q = 0.8q -1.6 + 0.8q = -0.2 + -3.2 Combine like terms: -0.2 + -3.2 = -3.4 -1.6 + 0.8q = -3.4 Solving -1.6 + 0.8q = -3.4 Solving for variable 'q'. Move all terms containing q to the left, all other terms to the right. Add '1.6' to each side of the equation. -1.6 + 1.6 + 0.8q = -3.4 + 1.6 Combine like terms: -1.6 + 1.6 = 0.0 0.0 + 0.8q = -3.4 + 1.6 0.8q = -3.4 + 1.6 Combine like terms: -3.4 + 1.6 = -1.8 0.8q = -1.8 Divide each side by '0.8'. q = -2.25 Simplifying q = -2.25
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