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Simplifying v + (v + 21) + (4v + -31) = 596 Reorder the terms: v + (21 + v) + (4v + -31) = 596 Remove parenthesis around (21 + v) v + 21 + v + (4v + -31) = 596 Reorder the terms: v + 21 + v + (-31 + 4v) = 596 Remove parenthesis around (-31 + 4v) v + 21 + v + -31 + 4v = 596 Reorder the terms: 21 + -31 + v + v + 4v = 596 Combine like terms: 21 + -31 = -10 -10 + v + v + 4v = 596 Combine like terms: v + v = 2v -10 + 2v + 4v = 596 Combine like terms: 2v + 4v = 6v -10 + 6v = 596 Solving -10 + 6v = 596 Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '10' to each side of the equation. -10 + 10 + 6v = 596 + 10 Combine like terms: -10 + 10 = 0 0 + 6v = 596 + 10 6v = 596 + 10 Combine like terms: 596 + 10 = 606 6v = 606 Divide each side by '6'. v = 101 Simplifying v = 101
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