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Simplifying 4 + -6v = v + 4[8v + 1] Reorder the terms: 4 + -6v = v + 4[1 + 8v] 4 + -6v = v + [1 * 4 + 8v * 4] 4 + -6v = v + [4 + 32v] Reorder the terms: 4 + -6v = 4 + v + 32v Combine like terms: v + 32v = 33v 4 + -6v = 4 + 33v Add '-4' to each side of the equation. 4 + -4 + -6v = 4 + -4 + 33v Combine like terms: 4 + -4 = 0 0 + -6v = 4 + -4 + 33v -6v = 4 + -4 + 33v Combine like terms: 4 + -4 = 0 -6v = 0 + 33v -6v = 33v Solving -6v = 33v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '-33v' to each side of the equation. -6v + -33v = 33v + -33v Combine like terms: -6v + -33v = -39v -39v = 33v + -33v Combine like terms: 33v + -33v = 0 -39v = 0 Divide each side by '-39'. v = 0 Simplifying v = 0
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