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Simplifying 2v + 18 + 16 = 4(v + 7) Reorder the terms: 18 + 16 + 2v = 4(v + 7) Combine like terms: 18 + 16 = 34 34 + 2v = 4(v + 7) Reorder the terms: 34 + 2v = 4(7 + v) 34 + 2v = (7 * 4 + v * 4) 34 + 2v = (28 + 4v) Solving 34 + 2v = 28 + 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. 34 + 2v + -4v = 28 + 4v + -4v Combine like terms: 2v + -4v = -2v 34 + -2v = 28 + 4v + -4v Combine like terms: 4v + -4v = 0 34 + -2v = 28 + 0 34 + -2v = 28 Add '-34' to each side of the equation. 34 + -34 + -2v = 28 + -34 Combine like terms: 34 + -34 = 0 0 + -2v = 28 + -34 -2v = 28 + -34 Combine like terms: 28 + -34 = -6 -2v = -6 Divide each side by '-2'. v = 3 Simplifying v = 3
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