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Simplifying 10v + 1 = 19 + -5v + 13v Reorder the terms: 1 + 10v = 19 + -5v + 13v Combine like terms: -5v + 13v = 8v 1 + 10v = 19 + 8v Solving 1 + 10v = 19 + 8v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '-8v' to each side of the equation. 1 + 10v + -8v = 19 + 8v + -8v Combine like terms: 10v + -8v = 2v 1 + 2v = 19 + 8v + -8v Combine like terms: 8v + -8v = 0 1 + 2v = 19 + 0 1 + 2v = 19 Add '-1' to each side of the equation. 1 + -1 + 2v = 19 + -1 Combine like terms: 1 + -1 = 0 0 + 2v = 19 + -1 2v = 19 + -1 Combine like terms: 19 + -1 = 18 2v = 18 Divide each side by '2'. v = 9 Simplifying v = 9
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