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Simplifying -5v + 10 = v + -8 + -6 Reorder the terms: 10 + -5v = v + -8 + -6 Reorder the terms: 10 + -5v = -8 + -6 + v Combine like terms: -8 + -6 = -14 10 + -5v = -14 + v Solving 10 + -5v = -14 + v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '-1v' to each side of the equation. 10 + -5v + -1v = -14 + v + -1v Combine like terms: -5v + -1v = -6v 10 + -6v = -14 + v + -1v Combine like terms: v + -1v = 0 10 + -6v = -14 + 0 10 + -6v = -14 Add '-10' to each side of the equation. 10 + -10 + -6v = -14 + -10 Combine like terms: 10 + -10 = 0 0 + -6v = -14 + -10 -6v = -14 + -10 Combine like terms: -14 + -10 = -24 -6v = -24 Divide each side by '-6'. v = 4 Simplifying v = 4
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