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Simplifying 6v + 45 = 3v Reorder the terms: 45 + 6v = 3v Solving 45 + 6v = 3v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '-3v' to each side of the equation. 45 + 6v + -3v = 3v + -3v Combine like terms: 6v + -3v = 3v 45 + 3v = 3v + -3v Combine like terms: 3v + -3v = 0 45 + 3v = 0 Add '-45' to each side of the equation. 45 + -45 + 3v = 0 + -45 Combine like terms: 45 + -45 = 0 0 + 3v = 0 + -45 3v = 0 + -45 Combine like terms: 0 + -45 = -45 3v = -45 Divide each side by '3'. v = -15 Simplifying v = -15
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