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Simplifying 14 = 4v + -35 + 3v Reorder the terms: 14 = -35 + 4v + 3v Combine like terms: 4v + 3v = 7v 14 = -35 + 7v Solving 14 = -35 + 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 + -7v = -35 + 7v + -7v Combine like terms: 7v + -7v = 0 14 + -7v = -35 + 0 14 + -7v = -35 Add '-14' to each side of the equation. 14 + -14 + -7v = -35 + -14 Combine like terms: 14 + -14 = 0 0 + -7v = -35 + -14 -7v = -35 + -14 Combine like terms: -35 + -14 = -49 -7v = -49 Divide each side by '-7'. v = 7 Simplifying v = 7
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