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Simplifying 2v + 18 = 16 + -1(4v + -7) Reorder the terms: 18 + 2v = 16 + -1(4v + -7) Reorder the terms: 18 + 2v = 16 + -1(-7 + 4v) 18 + 2v = 16 + (-7 * -1 + 4v * -1) 18 + 2v = 16 + (7 + -4v) Combine like terms: 16 + 7 = 23 18 + 2v = 23 + -4v Solving 18 + 2v = 23 + -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 = 23 + -4v + 4v Combine like terms: 2v + 4v = 6v 18 + 6v = 23 + -4v + 4v Combine like terms: -4v + 4v = 0 18 + 6v = 23 + 0 18 + 6v = 23 Add '-18' to each side of the equation. 18 + -18 + 6v = 23 + -18 Combine like terms: 18 + -18 = 0 0 + 6v = 23 + -18 6v = 23 + -18 Combine like terms: 23 + -18 = 5 6v = 5 Divide each side by '6'. v = 0.8333333333 Simplifying v = 0.8333333333
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