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Simplifying 2 + -5v + v + -18 = v + 14 + -6 + v Reorder the terms: 2 + -18 + -5v + v = v + 14 + -6 + v Combine like terms: 2 + -18 = -16 -16 + -5v + v = v + 14 + -6 + v Combine like terms: -5v + v = -4v -16 + -4v = v + 14 + -6 + v Reorder the terms: -16 + -4v = 14 + -6 + v + v Combine like terms: 14 + -6 = 8 -16 + -4v = 8 + v + v Combine like terms: v + v = 2v -16 + -4v = 8 + 2v Solving -16 + -4v = 8 + 2v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '-2v' to each side of the equation. -16 + -4v + -2v = 8 + 2v + -2v Combine like terms: -4v + -2v = -6v -16 + -6v = 8 + 2v + -2v Combine like terms: 2v + -2v = 0 -16 + -6v = 8 + 0 -16 + -6v = 8 Add '16' to each side of the equation. -16 + 16 + -6v = 8 + 16 Combine like terms: -16 + 16 = 0 0 + -6v = 8 + 16 -6v = 8 + 16 Combine like terms: 8 + 16 = 24 -6v = 24 Divide each side by '-6'. v = -4 Simplifying v = -4
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