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Simplifying 8v + 18 = 2(v + 3) Reorder the terms: 18 + 8v = 2(v + 3) Reorder the terms: 18 + 8v = 2(3 + v) 18 + 8v = (3 * 2 + v * 2) 18 + 8v = (6 + 2v) Solving 18 + 8v = 6 + 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 + 8v + -2v = 6 + 2v + -2v Combine like terms: 8v + -2v = 6v 18 + 6v = 6 + 2v + -2v Combine like terms: 2v + -2v = 0 18 + 6v = 6 + 0 18 + 6v = 6 Add '-18' to each side of the equation. 18 + -18 + 6v = 6 + -18 Combine like terms: 18 + -18 = 0 0 + 6v = 6 + -18 6v = 6 + -18 Combine like terms: 6 + -18 = -12 6v = -12 Divide each side by '6'. v = -2 Simplifying v = -2
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