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Simplifying 14 = 3v + 5(v + -2) Reorder the terms: 14 = 3v + 5(-2 + v) 14 = 3v + (-2 * 5 + v * 5) 14 = 3v + (-10 + 5v) Reorder the terms: 14 = -10 + 3v + 5v Combine like terms: 3v + 5v = 8v 14 = -10 + 8v Solving 14 = -10 + 8v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '-8v' to each side of the equation. 14 + -8v = -10 + 8v + -8v Combine like terms: 8v + -8v = 0 14 + -8v = -10 + 0 14 + -8v = -10 Add '-14' to each side of the equation. 14 + -14 + -8v = -10 + -14 Combine like terms: 14 + -14 = 0 0 + -8v = -10 + -14 -8v = -10 + -14 Combine like terms: -10 + -14 = -24 -8v = -24 Divide each side by '-8'. v = 3 Simplifying v = 3
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