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Simplifying 3v + 1 = 6v + -8 Reorder the terms: 1 + 3v = 6v + -8 Reorder the terms: 1 + 3v = -8 + 6v Solving 1 + 3v = -8 + 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. 1 + 3v + -6v = -8 + 6v + -6v Combine like terms: 3v + -6v = -3v 1 + -3v = -8 + 6v + -6v Combine like terms: 6v + -6v = 0 1 + -3v = -8 + 0 1 + -3v = -8 Add '-1' to each side of the equation. 1 + -1 + -3v = -8 + -1 Combine like terms: 1 + -1 = 0 0 + -3v = -8 + -1 -3v = -8 + -1 Combine like terms: -8 + -1 = -9 -3v = -9 Divide each side by '-3'. v = 3 Simplifying v = 3
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