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Simplifying -4(1 + 11v) = 6v + 46 (1 * -4 + 11v * -4) = 6v + 46 (-4 + -44v) = 6v + 46 Reorder the terms: -4 + -44v = 46 + 6v Solving -4 + -44v = 46 + 6v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '-6v' to each side of the equation. -4 + -44v + -6v = 46 + 6v + -6v Combine like terms: -44v + -6v = -50v -4 + -50v = 46 + 6v + -6v Combine like terms: 6v + -6v = 0 -4 + -50v = 46 + 0 -4 + -50v = 46 Add '4' to each side of the equation. -4 + 4 + -50v = 46 + 4 Combine like terms: -4 + 4 = 0 0 + -50v = 46 + 4 -50v = 46 + 4 Combine like terms: 46 + 4 = 50 -50v = 50 Divide each side by '-50'. v = -1 Simplifying v = -1
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