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Simplifying -5v + 6 = -14 + 6v + -1v Reorder the terms: 6 + -5v = -14 + 6v + -1v Combine like terms: 6v + -1v = 5v 6 + -5v = -14 + 5v Solving 6 + -5v = -14 + 5v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '-5v' to each side of the equation. 6 + -5v + -5v = -14 + 5v + -5v Combine like terms: -5v + -5v = -10v 6 + -10v = -14 + 5v + -5v Combine like terms: 5v + -5v = 0 6 + -10v = -14 + 0 6 + -10v = -14 Add '-6' to each side of the equation. 6 + -6 + -10v = -14 + -6 Combine like terms: 6 + -6 = 0 0 + -10v = -14 + -6 -10v = -14 + -6 Combine like terms: -14 + -6 = -20 -10v = -20 Divide each side by '-10'. v = 2 Simplifying v = 2
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