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Simplifying -4v + 32 = -6(v + -2) Reorder the terms: 32 + -4v = -6(v + -2) Reorder the terms: 32 + -4v = -6(-2 + v) 32 + -4v = (-2 * -6 + v * -6) 32 + -4v = (12 + -6v) Solving 32 + -4v = 12 + -6v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '6v' to each side of the equation. 32 + -4v + 6v = 12 + -6v + 6v Combine like terms: -4v + 6v = 2v 32 + 2v = 12 + -6v + 6v Combine like terms: -6v + 6v = 0 32 + 2v = 12 + 0 32 + 2v = 12 Add '-32' to each side of the equation. 32 + -32 + 2v = 12 + -32 Combine like terms: 32 + -32 = 0 0 + 2v = 12 + -32 2v = 12 + -32 Combine like terms: 12 + -32 = -20 2v = -20 Divide each side by '2'. v = -10 Simplifying v = -10
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