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Simplifying 42 = 4v + -6 Reorder the terms: 42 = -6 + 4v Solving 42 = -6 + 4v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '-4v' to each side of the equation. 42 + -4v = -6 + 4v + -4v Combine like terms: 4v + -4v = 0 42 + -4v = -6 + 0 42 + -4v = -6 Add '-42' to each side of the equation. 42 + -42 + -4v = -6 + -42 Combine like terms: 42 + -42 = 0 0 + -4v = -6 + -42 -4v = -6 + -42 Combine like terms: -6 + -42 = -48 -4v = -48 Divide each side by '-4'. v = 12 Simplifying v = 12
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