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Simplifying 3v + 6 = 6 + 5v + -1v + -6 Reorder the terms: 6 + 3v = 6 + 5v + -1v + -6 Reorder the terms: 6 + 3v = 6 + -6 + 5v + -1v Combine like terms: 6 + -6 = 0 6 + 3v = 0 + 5v + -1v 6 + 3v = 5v + -1v Combine like terms: 5v + -1v = 4v 6 + 3v = 4v Solving 6 + 3v = 4v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '-4v' to each side of the equation. 6 + 3v + -4v = 4v + -4v Combine like terms: 3v + -4v = -1v 6 + -1v = 4v + -4v Combine like terms: 4v + -4v = 0 6 + -1v = 0 Add '-6' to each side of the equation. 6 + -6 + -1v = 0 + -6 Combine like terms: 6 + -6 = 0 0 + -1v = 0 + -6 -1v = 0 + -6 Combine like terms: 0 + -6 = -6 -1v = -6 Divide each side by '-1'. v = 6 Simplifying v = 6
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