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Simplifying 2(1 + v) = 23 + 5v (1 * 2 + v * 2) = 23 + 5v (2 + 2v) = 23 + 5v Solving 2 + 2v = 23 + 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. 2 + 2v + -5v = 23 + 5v + -5v Combine like terms: 2v + -5v = -3v 2 + -3v = 23 + 5v + -5v Combine like terms: 5v + -5v = 0 2 + -3v = 23 + 0 2 + -3v = 23 Add '-2' to each side of the equation. 2 + -2 + -3v = 23 + -2 Combine like terms: 2 + -2 = 0 0 + -3v = 23 + -2 -3v = 23 + -2 Combine like terms: 23 + -2 = 21 -3v = 21 Divide each side by '-3'. v = -7 Simplifying v = -7
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