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Simplifying -3(5 + -9v) = 12k + -4 (5 * -3 + -9v * -3) = 12k + -4 (-15 + 27v) = 12k + -4 Reorder the terms: -15 + 27v = -4 + 12k Solving -15 + 27v = -4 + 12k Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '15' to each side of the equation. -15 + 15 + 27v = -4 + 15 + 12k Combine like terms: -15 + 15 = 0 0 + 27v = -4 + 15 + 12k 27v = -4 + 15 + 12k Combine like terms: -4 + 15 = 11 27v = 11 + 12k Divide each side by '27'. v = 0.4074074074 + 0.4444444444k Simplifying v = 0.4074074074 + 0.4444444444k
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