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Simplifying -13v + 9 + 14 = -19 + -7v Reorder the terms: 9 + 14 + -13v = -19 + -7v Combine like terms: 9 + 14 = 23 23 + -13v = -19 + -7v Solving 23 + -13v = -19 + -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. 23 + -13v + 7v = -19 + -7v + 7v Combine like terms: -13v + 7v = -6v 23 + -6v = -19 + -7v + 7v Combine like terms: -7v + 7v = 0 23 + -6v = -19 + 0 23 + -6v = -19 Add '-23' to each side of the equation. 23 + -23 + -6v = -19 + -23 Combine like terms: 23 + -23 = 0 0 + -6v = -19 + -23 -6v = -19 + -23 Combine like terms: -19 + -23 = -42 -6v = -42 Divide each side by '-6'. v = 7 Simplifying v = 7
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