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Simplifying 2v + 18 = 16 + -4 + -1(v + 7) Reorder the terms: 18 + 2v = 16 + -4 + -1(v + 7) Reorder the terms: 18 + 2v = 16 + -4 + -1(7 + v) 18 + 2v = 16 + -4 + (7 * -1 + v * -1) 18 + 2v = 16 + -4 + (-7 + -1v) Combine like terms: 16 + -4 = 12 18 + 2v = 12 + -7 + -1v Combine like terms: 12 + -7 = 5 18 + 2v = 5 + -1v Solving 18 + 2v = 5 + -1v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add 'v' to each side of the equation. 18 + 2v + v = 5 + -1v + v Combine like terms: 2v + v = 3v 18 + 3v = 5 + -1v + v Combine like terms: -1v + v = 0 18 + 3v = 5 + 0 18 + 3v = 5 Add '-18' to each side of the equation. 18 + -18 + 3v = 5 + -18 Combine like terms: 18 + -18 = 0 0 + 3v = 5 + -18 3v = 5 + -18 Combine like terms: 5 + -18 = -13 3v = -13 Divide each side by '3'. v = -4.333333333 Simplifying v = -4.333333333
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