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Simplifying 2v + 18 = 16 + 4(v + 7) Reorder the terms: 18 + 2v = 16 + 4(v + 7) Reorder the terms: 18 + 2v = 16 + 4(7 + v) 18 + 2v = 16 + (7 * 4 + v * 4) 18 + 2v = 16 + (28 + 4v) Combine like terms: 16 + 28 = 44 18 + 2v = 44 + 4v Solving 18 + 2v = 44 + 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. 18 + 2v + -4v = 44 + 4v + -4v Combine like terms: 2v + -4v = -2v 18 + -2v = 44 + 4v + -4v Combine like terms: 4v + -4v = 0 18 + -2v = 44 + 0 18 + -2v = 44 Add '-18' to each side of the equation. 18 + -18 + -2v = 44 + -18 Combine like terms: 18 + -18 = 0 0 + -2v = 44 + -18 -2v = 44 + -18 Combine like terms: 44 + -18 = 26 -2v = 26 Divide each side by '-2'. v = -13 Simplifying v = -13
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