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Simplifying -5v + 3(v + 8) = 38 Reorder the terms: -5v + 3(8 + v) = 38 -5v + (8 * 3 + v * 3) = 38 -5v + (24 + 3v) = 38 Reorder the terms: 24 + -5v + 3v = 38 Combine like terms: -5v + 3v = -2v 24 + -2v = 38 Solving 24 + -2v = 38 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 + -2v = 38 + -24 Combine like terms: 24 + -24 = 0 0 + -2v = 38 + -24 -2v = 38 + -24 Combine like terms: 38 + -24 = 14 -2v = 14 Divide each side by '-2'. v = -7 Simplifying v = -7
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