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Simplifying 13 + -7v = -17 + -11v + -14 Reorder the terms: 13 + -7v = -17 + -14 + -11v Combine like terms: -17 + -14 = -31 13 + -7v = -31 + -11v Solving 13 + -7v = -31 + -11v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '11v' to each side of the equation. 13 + -7v + 11v = -31 + -11v + 11v Combine like terms: -7v + 11v = 4v 13 + 4v = -31 + -11v + 11v Combine like terms: -11v + 11v = 0 13 + 4v = -31 + 0 13 + 4v = -31 Add '-13' to each side of the equation. 13 + -13 + 4v = -31 + -13 Combine like terms: 13 + -13 = 0 0 + 4v = -31 + -13 4v = -31 + -13 Combine like terms: -31 + -13 = -44 4v = -44 Divide each side by '4'. v = -11 Simplifying v = -11
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