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Simplifying 13v + 10 = 9v + -8 + 6 Reorder the terms: 10 + 13v = 9v + -8 + 6 Reorder the terms: 10 + 13v = -8 + 6 + 9v Combine like terms: -8 + 6 = -2 10 + 13v = -2 + 9v Solving 10 + 13v = -2 + 9v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '-9v' to each side of the equation. 10 + 13v + -9v = -2 + 9v + -9v Combine like terms: 13v + -9v = 4v 10 + 4v = -2 + 9v + -9v Combine like terms: 9v + -9v = 0 10 + 4v = -2 + 0 10 + 4v = -2 Add '-10' to each side of the equation. 10 + -10 + 4v = -2 + -10 Combine like terms: 10 + -10 = 0 0 + 4v = -2 + -10 4v = -2 + -10 Combine like terms: -2 + -10 = -12 4v = -12 Divide each side by '4'. v = -3 Simplifying v = -3
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