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Simplifying 35 + -7v = -14v + (-7) 35 + -7v = -14v + -7 Reorder the terms: 35 + -7v = -7 + -14v Solving 35 + -7v = -7 + -14v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '14v' to each side of the equation. 35 + -7v + 14v = -7 + -14v + 14v Combine like terms: -7v + 14v = 7v 35 + 7v = -7 + -14v + 14v Combine like terms: -14v + 14v = 0 35 + 7v = -7 + 0 35 + 7v = -7 Add '-35' to each side of the equation. 35 + -35 + 7v = -7 + -35 Combine like terms: 35 + -35 = 0 0 + 7v = -7 + -35 7v = -7 + -35 Combine like terms: -7 + -35 = -42 7v = -42 Divide each side by '7'. v = -6 Simplifying v = -6
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