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Simplifying -35 = 7v + 14 + -10v + 5 Reorder the terms: -35 = 14 + 5 + 7v + -10v Combine like terms: 14 + 5 = 19 -35 = 19 + 7v + -10v Combine like terms: 7v + -10v = -3v -35 = 19 + -3v Solving -35 = 19 + -3v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '3v' to each side of the equation. -35 + 3v = 19 + -3v + 3v Combine like terms: -3v + 3v = 0 -35 + 3v = 19 + 0 -35 + 3v = 19 Add '35' to each side of the equation. -35 + 35 + 3v = 19 + 35 Combine like terms: -35 + 35 = 0 0 + 3v = 19 + 35 3v = 19 + 35 Combine like terms: 19 + 35 = 54 3v = 54 Divide each side by '3'. v = 18 Simplifying v = 18
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