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Simplifying -2v + 36 = 4(v + -6) Reorder the terms: 36 + -2v = 4(v + -6) Reorder the terms: 36 + -2v = 4(-6 + v) 36 + -2v = (-6 * 4 + v * 4) 36 + -2v = (-24 + 4v) Solving 36 + -2v = -24 + 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. 36 + -2v + -4v = -24 + 4v + -4v Combine like terms: -2v + -4v = -6v 36 + -6v = -24 + 4v + -4v Combine like terms: 4v + -4v = 0 36 + -6v = -24 + 0 36 + -6v = -24 Add '-36' to each side of the equation. 36 + -36 + -6v = -24 + -36 Combine like terms: 36 + -36 = 0 0 + -6v = -24 + -36 -6v = -24 + -36 Combine like terms: -24 + -36 = -60 -6v = -60 Divide each side by '-6'. v = 10 Simplifying v = 10
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