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Simplifying -5v + 8(v + 3) = 39 Reorder the terms: -5v + 8(3 + v) = 39 -5v + (3 * 8 + v * 8) = 39 -5v + (24 + 8v) = 39 Reorder the terms: 24 + -5v + 8v = 39 Combine like terms: -5v + 8v = 3v 24 + 3v = 39 Solving 24 + 3v = 39 Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '-24' to each side of the equation. 24 + -24 + 3v = 39 + -24 Combine like terms: 24 + -24 = 0 0 + 3v = 39 + -24 3v = 39 + -24 Combine like terms: 39 + -24 = 15 3v = 15 Divide each side by '3'. v = 5 Simplifying v = 5
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