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Simplifying 13 + 2v + 18 + -10v = 12 + -7v Reorder the terms: 13 + 18 + 2v + -10v = 12 + -7v Combine like terms: 13 + 18 = 31 31 + 2v + -10v = 12 + -7v Combine like terms: 2v + -10v = -8v 31 + -8v = 12 + -7v Solving 31 + -8v = 12 + -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. 31 + -8v + 7v = 12 + -7v + 7v Combine like terms: -8v + 7v = -1v 31 + -1v = 12 + -7v + 7v Combine like terms: -7v + 7v = 0 31 + -1v = 12 + 0 31 + -1v = 12 Add '-31' to each side of the equation. 31 + -31 + -1v = 12 + -31 Combine like terms: 31 + -31 = 0 0 + -1v = 12 + -31 -1v = 12 + -31 Combine like terms: 12 + -31 = -19 -1v = -19 Divide each side by '-1'. v = 19 Simplifying v = 19
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