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Simplifying -8v + 4(v + 7) = 12 Reorder the terms: -8v + 4(7 + v) = 12 -8v + (7 * 4 + v * 4) = 12 -8v + (28 + 4v) = 12 Reorder the terms: 28 + -8v + 4v = 12 Combine like terms: -8v + 4v = -4v 28 + -4v = 12 Solving 28 + -4v = 12 Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '-28' to each side of the equation. 28 + -28 + -4v = 12 + -28 Combine like terms: 28 + -28 = 0 0 + -4v = 12 + -28 -4v = 12 + -28 Combine like terms: 12 + -28 = -16 -4v = -16 Divide each side by '-4'. v = 4 Simplifying v = 4
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