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Simplifying 14 + -5v = -6(v + -2) Reorder the terms: 14 + -5v = -6(-2 + v) 14 + -5v = (-2 * -6 + v * -6) 14 + -5v = (12 + -6v) Solving 14 + -5v = 12 + -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. 14 + -5v + 6v = 12 + -6v + 6v Combine like terms: -5v + 6v = 1v 14 + 1v = 12 + -6v + 6v Combine like terms: -6v + 6v = 0 14 + 1v = 12 + 0 14 + 1v = 12 Add '-14' to each side of the equation. 14 + -14 + 1v = 12 + -14 Combine like terms: 14 + -14 = 0 0 + 1v = 12 + -14 1v = 12 + -14 Combine like terms: 12 + -14 = -2 1v = -2 Divide each side by '1'. v = -2 Simplifying v = -2
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