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Simplifying 2v + 46 = 8(v + 8) Reorder the terms: 46 + 2v = 8(v + 8) Reorder the terms: 46 + 2v = 8(8 + v) 46 + 2v = (8 * 8 + v * 8) 46 + 2v = (64 + 8v) Solving 46 + 2v = 64 + 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. 46 + 2v + -8v = 64 + 8v + -8v Combine like terms: 2v + -8v = -6v 46 + -6v = 64 + 8v + -8v Combine like terms: 8v + -8v = 0 46 + -6v = 64 + 0 46 + -6v = 64 Add '-46' to each side of the equation. 46 + -46 + -6v = 64 + -46 Combine like terms: 46 + -46 = 0 0 + -6v = 64 + -46 -6v = 64 + -46 Combine like terms: 64 + -46 = 18 -6v = 18 Divide each side by '-6'. v = -3 Simplifying v = -3
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