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Simplifying 2v + 2 = 5(v + 4) Reorder the terms: 2 + 2v = 5(v + 4) Reorder the terms: 2 + 2v = 5(4 + v) 2 + 2v = (4 * 5 + v * 5) 2 + 2v = (20 + 5v) Solving 2 + 2v = 20 + 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 = 20 + 5v + -5v Combine like terms: 2v + -5v = -3v 2 + -3v = 20 + 5v + -5v Combine like terms: 5v + -5v = 0 2 + -3v = 20 + 0 2 + -3v = 20 Add '-2' to each side of the equation. 2 + -2 + -3v = 20 + -2 Combine like terms: 2 + -2 = 0 0 + -3v = 20 + -2 -3v = 20 + -2 Combine like terms: 20 + -2 = 18 -3v = 18 Divide each side by '-3'. v = -6 Simplifying v = -6
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