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Simplifying v + 8 = [(3v + 4 + -1v) + -2] + 4 Reorder the terms: 8 + v = [(3v + 4 + -1v) + -2] + 4 Reorder the terms: 8 + v = [(4 + 3v + -1v) + -2] + 4 Combine like terms: 3v + -1v = 2v 8 + v = [(4 + 2v) + -2] + 4 Remove parenthesis around (4 + 2v) 8 + v = [4 + 2v + -2] + 4 Reorder the terms: 8 + v = [4 + -2 + 2v] + 4 Combine like terms: 4 + -2 = 2 8 + v = [2 + 2v] + 4 Remove brackets around [2 + 2v] 8 + v = 2 + 2v + 4 Reorder the terms: 8 + v = 2 + 4 + 2v Combine like terms: 2 + 4 = 6 8 + v = 6 + 2v Solving 8 + v = 6 + 2v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '-2v' to each side of the equation. 8 + v + -2v = 6 + 2v + -2v Combine like terms: v + -2v = -1v 8 + -1v = 6 + 2v + -2v Combine like terms: 2v + -2v = 0 8 + -1v = 6 + 0 8 + -1v = 6 Add '-8' to each side of the equation. 8 + -8 + -1v = 6 + -8 Combine like terms: 8 + -8 = 0 0 + -1v = 6 + -8 -1v = 6 + -8 Combine like terms: 6 + -8 = -2 -1v = -2 Divide each side by '-1'. v = 2 Simplifying v = 2
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