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Simplifying 18 = 7 + 2(v + 8) Reorder the terms: 18 = 7 + 2(8 + v) 18 = 7 + (8 * 2 + v * 2) 18 = 7 + (16 + 2v) Combine like terms: 7 + 16 = 23 18 = 23 + 2v Solving 18 = 23 + 2v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '-2v' to each side of the equation. 18 + -2v = 23 + 2v + -2v Combine like terms: 2v + -2v = 0 18 + -2v = 23 + 0 18 + -2v = 23 Add '-18' to each side of the equation. 18 + -18 + -2v = 23 + -18 Combine like terms: 18 + -18 = 0 0 + -2v = 23 + -18 -2v = 23 + -18 Combine like terms: 23 + -18 = 5 -2v = 5 Divide each side by '-2'. v = -2.5 Simplifying v = -2.5
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