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Simplifying 36 = 2(v + 8) + -6v Reorder the terms: 36 = 2(8 + v) + -6v 36 = (8 * 2 + v * 2) + -6v 36 = (16 + 2v) + -6v Combine like terms: 2v + -6v = -4v 36 = 16 + -4v Solving 36 = 16 + -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 + 4v = 16 + -4v + 4v Combine like terms: -4v + 4v = 0 36 + 4v = 16 + 0 36 + 4v = 16 Add '-36' to each side of the equation. 36 + -36 + 4v = 16 + -36 Combine like terms: 36 + -36 = 0 0 + 4v = 16 + -36 4v = 16 + -36 Combine like terms: 16 + -36 = -20 4v = -20 Divide each side by '4'. v = -5 Simplifying v = -5
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