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Simplifying 3v + 22 = 5(v + 4) Reorder the terms: 22 + 3v = 5(v + 4) Reorder the terms: 22 + 3v = 5(4 + v) 22 + 3v = (4 * 5 + v * 5) 22 + 3v = (20 + 5v) Solving 22 + 3v = 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. 22 + 3v + -5v = 20 + 5v + -5v Combine like terms: 3v + -5v = -2v 22 + -2v = 20 + 5v + -5v Combine like terms: 5v + -5v = 0 22 + -2v = 20 + 0 22 + -2v = 20 Add '-22' to each side of the equation. 22 + -22 + -2v = 20 + -22 Combine like terms: 22 + -22 = 0 0 + -2v = 20 + -22 -2v = 20 + -22 Combine like terms: 20 + -22 = -2 -2v = -2 Divide each side by '-2'. v = 1 Simplifying v = 1
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