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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 = 9 18 + 2v = 9 + -4v Solving 18 + 2v = 9 + -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 = 9 + -4v + 4v Combine like terms: 2v + 4v = 6v 18 + 6v = 9 + -4v + 4v Combine like terms: -4v + 4v = 0 18 + 6v = 9 + 0 18 + 6v = 9 Add '-18' to each side of the equation. 18 + -18 + 6v = 9 + -18 Combine like terms: 18 + -18 = 0 0 + 6v = 9 + -18 6v = 9 + -18 Combine like terms: 9 + -18 = -9 6v = -9 Divide each side by '6'. v = -1.5 Simplifying v = -1.5
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