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Simplifying -8v + 4(v + 4) = -12 Reorder the terms: -8v + 4(4 + v) = -12 -8v + (4 * 4 + v * 4) = -12 -8v + (16 + 4v) = -12 Reorder the terms: 16 + -8v + 4v = -12 Combine like terms: -8v + 4v = -4v 16 + -4v = -12 Solving 16 + -4v = -12 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 + -4v = -12 + -16 Combine like terms: 16 + -16 = 0 0 + -4v = -12 + -16 -4v = -12 + -16 Combine like terms: -12 + -16 = -28 -4v = -28 Divide each side by '-4'. v = 7 Simplifying v = 7
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