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Simplifying -6v + 4(v + 4) = 32 Reorder the terms: -6v + 4(4 + v) = 32 -6v + (4 * 4 + v * 4) = 32 -6v + (16 + 4v) = 32 Reorder the terms: 16 + -6v + 4v = 32 Combine like terms: -6v + 4v = -2v 16 + -2v = 32 Solving 16 + -2v = 32 Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '-16' to each side of the equation. 16 + -16 + -2v = 32 + -16 Combine like terms: 16 + -16 = 0 0 + -2v = 32 + -16 -2v = 32 + -16 Combine like terms: 32 + -16 = 16 -2v = 16 Divide each side by '-2'. v = -8 Simplifying v = -8
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