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Simplifying 3v + -1 = -46 + 8v Reorder the terms: -1 + 3v = -46 + 8v Solving -1 + 3v = -46 + 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. -1 + 3v + -8v = -46 + 8v + -8v Combine like terms: 3v + -8v = -5v -1 + -5v = -46 + 8v + -8v Combine like terms: 8v + -8v = 0 -1 + -5v = -46 + 0 -1 + -5v = -46 Add '1' to each side of the equation. -1 + 1 + -5v = -46 + 1 Combine like terms: -1 + 1 = 0 0 + -5v = -46 + 1 -5v = -46 + 1 Combine like terms: -46 + 1 = -45 -5v = -45 Divide each side by '-5'. v = 9 Simplifying v = 9
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