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Simplifying 2v + 43 = 5(v + 5) Reorder the terms: 43 + 2v = 5(v + 5) Reorder the terms: 43 + 2v = 5(5 + v) 43 + 2v = (5 * 5 + v * 5) 43 + 2v = (25 + 5v) Solving 43 + 2v = 25 + 5v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '-5v' to each side of the equation. 43 + 2v + -5v = 25 + 5v + -5v Combine like terms: 2v + -5v = -3v 43 + -3v = 25 + 5v + -5v Combine like terms: 5v + -5v = 0 43 + -3v = 25 + 0 43 + -3v = 25 Add '-43' to each side of the equation. 43 + -43 + -3v = 25 + -43 Combine like terms: 43 + -43 = 0 0 + -3v = 25 + -43 -3v = 25 + -43 Combine like terms: 25 + -43 = -18 -3v = -18 Divide each side by '-3'. v = 6 Simplifying v = 6
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