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Simplifying 6v + 14 = 8(v + 2) Reorder the terms: 14 + 6v = 8(v + 2) Reorder the terms: 14 + 6v = 8(2 + v) 14 + 6v = (2 * 8 + v * 8) 14 + 6v = (16 + 8v) Solving 14 + 6v = 16 + 8v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '-8v' to each side of the equation. 14 + 6v + -8v = 16 + 8v + -8v Combine like terms: 6v + -8v = -2v 14 + -2v = 16 + 8v + -8v Combine like terms: 8v + -8v = 0 14 + -2v = 16 + 0 14 + -2v = 16 Add '-14' to each side of the equation. 14 + -14 + -2v = 16 + -14 Combine like terms: 14 + -14 = 0 0 + -2v = 16 + -14 -2v = 16 + -14 Combine like terms: 16 + -14 = 2 -2v = 2 Divide each side by '-2'. v = -1 Simplifying v = -1
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