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Simplifying 3v + 11 = 5(v + 1) Reorder the terms: 11 + 3v = 5(v + 1) Reorder the terms: 11 + 3v = 5(1 + v) 11 + 3v = (1 * 5 + v * 5) 11 + 3v = (5 + 5v) Solving 11 + 3v = 5 + 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. 11 + 3v + -5v = 5 + 5v + -5v Combine like terms: 3v + -5v = -2v 11 + -2v = 5 + 5v + -5v Combine like terms: 5v + -5v = 0 11 + -2v = 5 + 0 11 + -2v = 5 Add '-11' to each side of the equation. 11 + -11 + -2v = 5 + -11 Combine like terms: 11 + -11 = 0 0 + -2v = 5 + -11 -2v = 5 + -11 Combine like terms: 5 + -11 = -6 -2v = -6 Divide each side by '-2'. v = 3 Simplifying v = 3
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