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Simplifying v + -10 + 39 = 3v + 5 + -8 Reorder the terms: -10 + 39 + v = 3v + 5 + -8 Combine like terms: -10 + 39 = 29 29 + v = 3v + 5 + -8 Reorder the terms: 29 + v = 5 + -8 + 3v Combine like terms: 5 + -8 = -3 29 + v = -3 + 3v Solving 29 + v = -3 + 3v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '-3v' to each side of the equation. 29 + v + -3v = -3 + 3v + -3v Combine like terms: v + -3v = -2v 29 + -2v = -3 + 3v + -3v Combine like terms: 3v + -3v = 0 29 + -2v = -3 + 0 29 + -2v = -3 Add '-29' to each side of the equation. 29 + -29 + -2v = -3 + -29 Combine like terms: 29 + -29 = 0 0 + -2v = -3 + -29 -2v = -3 + -29 Combine like terms: -3 + -29 = -32 -2v = -32 Divide each side by '-2'. v = 16 Simplifying v = 16
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