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Simplifying 5v + 2 = 4(v + 1) Reorder the terms: 2 + 5v = 4(v + 1) Reorder the terms: 2 + 5v = 4(1 + v) 2 + 5v = (1 * 4 + v * 4) 2 + 5v = (4 + 4v) Solving 2 + 5v = 4 + 4v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '-4v' to each side of the equation. 2 + 5v + -4v = 4 + 4v + -4v Combine like terms: 5v + -4v = 1v 2 + 1v = 4 + 4v + -4v Combine like terms: 4v + -4v = 0 2 + 1v = 4 + 0 2 + 1v = 4 Add '-2' to each side of the equation. 2 + -2 + 1v = 4 + -2 Combine like terms: 2 + -2 = 0 0 + 1v = 4 + -2 1v = 4 + -2 Combine like terms: 4 + -2 = 2 1v = 2 Divide each side by '1'. v = 2 Simplifying v = 2
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