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Simplifying 19.4q + 2.6(-2 + -8q) = -6 19.4q + (-2 * 2.6 + -8q * 2.6) = -6 19.4q + (-5.2 + -20.8q) = -6 Reorder the terms: -5.2 + 19.4q + -20.8q = -6 Combine like terms: 19.4q + -20.8q = -1.4q -5.2 + -1.4q = -6 Solving -5.2 + -1.4q = -6 Solving for variable 'q'. Move all terms containing q to the left, all other terms to the right. Add '5.2' to each side of the equation. -5.2 + 5.2 + -1.4q = -6 + 5.2 Combine like terms: -5.2 + 5.2 = 0.0 0.0 + -1.4q = -6 + 5.2 -1.4q = -6 + 5.2 Combine like terms: -6 + 5.2 = -0.8 -1.4q = -0.8 Divide each side by '-1.4'. q = 0.5714285714 Simplifying q = 0.5714285714
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