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Simplifying -13v + 14 = 5(-3v + -2) Reorder the terms: 14 + -13v = 5(-3v + -2) Reorder the terms: 14 + -13v = 5(-2 + -3v) 14 + -13v = (-2 * 5 + -3v * 5) 14 + -13v = (-10 + -15v) Solving 14 + -13v = -10 + -15v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '15v' to each side of the equation. 14 + -13v + 15v = -10 + -15v + 15v Combine like terms: -13v + 15v = 2v 14 + 2v = -10 + -15v + 15v Combine like terms: -15v + 15v = 0 14 + 2v = -10 + 0 14 + 2v = -10 Add '-14' to each side of the equation. 14 + -14 + 2v = -10 + -14 Combine like terms: 14 + -14 = 0 0 + 2v = -10 + -14 2v = -10 + -14 Combine like terms: -10 + -14 = -24 2v = -24 Divide each side by '2'. v = -12 Simplifying v = -12
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