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