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Simplifying 14 = 6v + -1(10 + -6v) 14 = 6v + (10 * -1 + -6v * -1) 14 = 6v + (-10 + 6v) Reorder the terms: 14 = -10 + 6v + 6v Combine like terms: 6v + 6v = 12v 14 = -10 + 12v Solving 14 = -10 + 12v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '-12v' to each side of the equation. 14 + -12v = -10 + 12v + -12v Combine like terms: 12v + -12v = 0 14 + -12v = -10 + 0 14 + -12v = -10 Add '-14' to each side of the equation. 14 + -14 + -12v = -10 + -14 Combine like terms: 14 + -14 = 0 0 + -12v = -10 + -14 -12v = -10 + -14 Combine like terms: -10 + -14 = -24 -12v = -24 Divide each side by '-12'. v = 2 Simplifying v = 2
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