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Simplifying 4 = 5(v + 2) + -2v Reorder the terms: 4 = 5(2 + v) + -2v 4 = (2 * 5 + v * 5) + -2v 4 = (10 + 5v) + -2v Combine like terms: 5v + -2v = 3v 4 = 10 + 3v Solving 4 = 10 + 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. 4 + -3v = 10 + 3v + -3v Combine like terms: 3v + -3v = 0 4 + -3v = 10 + 0 4 + -3v = 10 Add '-4' to each side of the equation. 4 + -4 + -3v = 10 + -4 Combine like terms: 4 + -4 = 0 0 + -3v = 10 + -4 -3v = 10 + -4 Combine like terms: 10 + -4 = 6 -3v = 6 Divide each side by '-3'. v = -2 Simplifying v = -2
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