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Simplifying -36 = 2(v + -2) + -6v Reorder the terms: -36 = 2(-2 + v) + -6v -36 = (-2 * 2 + v * 2) + -6v -36 = (-4 + 2v) + -6v Combine like terms: 2v + -6v = -4v -36 = -4 + -4v Solving -36 = -4 + -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 = -4 + -4v + 4v Combine like terms: -4v + 4v = 0 -36 + 4v = -4 + 0 -36 + 4v = -4 Add '36' to each side of the equation. -36 + 36 + 4v = -4 + 36 Combine like terms: -36 + 36 = 0 0 + 4v = -4 + 36 4v = -4 + 36 Combine like terms: -4 + 36 = 32 4v = 32 Divide each side by '4'. v = 8 Simplifying v = 8
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