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Simplifying 4v + -14 = 10v + 14 + 8 Reorder the terms: -14 + 4v = 10v + 14 + 8 Reorder the terms: -14 + 4v = 14 + 8 + 10v Combine like terms: 14 + 8 = 22 -14 + 4v = 22 + 10v Solving -14 + 4v = 22 + 10v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '-10v' to each side of the equation. -14 + 4v + -10v = 22 + 10v + -10v Combine like terms: 4v + -10v = -6v -14 + -6v = 22 + 10v + -10v Combine like terms: 10v + -10v = 0 -14 + -6v = 22 + 0 -14 + -6v = 22 Add '14' to each side of the equation. -14 + 14 + -6v = 22 + 14 Combine like terms: -14 + 14 = 0 0 + -6v = 22 + 14 -6v = 22 + 14 Combine like terms: 22 + 14 = 36 -6v = 36 Divide each side by '-6'. v = -6 Simplifying v = -6
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