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Simplifying 2v + 38 = 4(v + 1) Reorder the terms: 38 + 2v = 4(v + 1) Reorder the terms: 38 + 2v = 4(1 + v) 38 + 2v = (1 * 4 + v * 4) 38 + 2v = (4 + 4v) Solving 38 + 2v = 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. 38 + 2v + -4v = 4 + 4v + -4v Combine like terms: 2v + -4v = -2v 38 + -2v = 4 + 4v + -4v Combine like terms: 4v + -4v = 0 38 + -2v = 4 + 0 38 + -2v = 4 Add '-38' to each side of the equation. 38 + -38 + -2v = 4 + -38 Combine like terms: 38 + -38 = 0 0 + -2v = 4 + -38 -2v = 4 + -38 Combine like terms: 4 + -38 = -34 -2v = -34 Divide each side by '-2'. v = 17 Simplifying v = 17
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