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Simplifying -6 + 3(1 + -9v) = -24 -6 + (1 * 3 + -9v * 3) = -24 -6 + (3 + -27v) = -24 Combine like terms: -6 + 3 = -3 -3 + -27v = -24 Solving -3 + -27v = -24 Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '3' to each side of the equation. -3 + 3 + -27v = -24 + 3 Combine like terms: -3 + 3 = 0 0 + -27v = -24 + 3 -27v = -24 + 3 Combine like terms: -24 + 3 = -21 -27v = -21 Divide each side by '-27'. v = 0.7777777778 Simplifying v = 0.7777777778
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