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Simplifying 42 = 3v + -12 Reorder the terms: 42 = -12 + 3v Solving 42 = -12 + 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. 42 + -3v = -12 + 3v + -3v Combine like terms: 3v + -3v = 0 42 + -3v = -12 + 0 42 + -3v = -12 Add '-42' to each side of the equation. 42 + -42 + -3v = -12 + -42 Combine like terms: 42 + -42 = 0 0 + -3v = -12 + -42 -3v = -12 + -42 Combine like terms: -12 + -42 = -54 -3v = -54 Divide each side by '-3'. v = 18 Simplifying v = 18
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