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Simplifying 3v + -8(-2 + 6v) = 16 + -1v 3v + (-2 * -8 + 6v * -8) = 16 + -1v 3v + (16 + -48v) = 16 + -1v Reorder the terms: 16 + 3v + -48v = 16 + -1v Combine like terms: 3v + -48v = -45v 16 + -45v = 16 + -1v Add '-16' to each side of the equation. 16 + -16 + -45v = 16 + -16 + -1v Combine like terms: 16 + -16 = 0 0 + -45v = 16 + -16 + -1v -45v = 16 + -16 + -1v Combine like terms: 16 + -16 = 0 -45v = 0 + -1v -45v = -1v Solving -45v = -1v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add 'v' to each side of the equation. -45v + v = -1v + v Combine like terms: -45v + v = -44v -44v = -1v + v Combine like terms: -1v + v = 0 -44v = 0 Divide each side by '-44'. v = 0 Simplifying v = 0
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