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Simplifying -4(v + -6) = 2v + 42 Reorder the terms: -4(-6 + v) = 2v + 42 (-6 * -4 + v * -4) = 2v + 42 (24 + -4v) = 2v + 42 Reorder the terms: 24 + -4v = 42 + 2v Solving 24 + -4v = 42 + 2v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '-2v' to each side of the equation. 24 + -4v + -2v = 42 + 2v + -2v Combine like terms: -4v + -2v = -6v 24 + -6v = 42 + 2v + -2v Combine like terms: 2v + -2v = 0 24 + -6v = 42 + 0 24 + -6v = 42 Add '-24' to each side of the equation. 24 + -24 + -6v = 42 + -24 Combine like terms: 24 + -24 = 0 0 + -6v = 42 + -24 -6v = 42 + -24 Combine like terms: 42 + -24 = 18 -6v = 18 Divide each side by '-6'. v = -3 Simplifying v = -3
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