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