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Simplifying 6v + 81 + 2v = 10v + 43 Reorder the terms: 81 + 6v + 2v = 10v + 43 Combine like terms: 6v + 2v = 8v 81 + 8v = 10v + 43 Reorder the terms: 81 + 8v = 43 + 10v Solving 81 + 8v = 43 + 10v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '-10v' to each side of the equation. 81 + 8v + -10v = 43 + 10v + -10v Combine like terms: 8v + -10v = -2v 81 + -2v = 43 + 10v + -10v Combine like terms: 10v + -10v = 0 81 + -2v = 43 + 0 81 + -2v = 43 Add '-81' to each side of the equation. 81 + -81 + -2v = 43 + -81 Combine like terms: 81 + -81 = 0 0 + -2v = 43 + -81 -2v = 43 + -81 Combine like terms: 43 + -81 = -38 -2v = -38 Divide each side by '-2'. v = 19 Simplifying v = 19
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