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Simplifying 6v + 14 = 7v + 2 + -13 Reorder the terms: 14 + 6v = 7v + 2 + -13 Reorder the terms: 14 + 6v = 2 + -13 + 7v Combine like terms: 2 + -13 = -11 14 + 6v = -11 + 7v Solving 14 + 6v = -11 + 7v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '-7v' to each side of the equation. 14 + 6v + -7v = -11 + 7v + -7v Combine like terms: 6v + -7v = -1v 14 + -1v = -11 + 7v + -7v Combine like terms: 7v + -7v = 0 14 + -1v = -11 + 0 14 + -1v = -11 Add '-14' to each side of the equation. 14 + -14 + -1v = -11 + -14 Combine like terms: 14 + -14 = 0 0 + -1v = -11 + -14 -1v = -11 + -14 Combine like terms: -11 + -14 = -25 -1v = -25 Divide each side by '-1'. v = 25 Simplifying v = 25
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