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Simplifying 3(v + -8) = 5v + -38 Reorder the terms: 3(-8 + v) = 5v + -38 (-8 * 3 + v * 3) = 5v + -38 (-24 + 3v) = 5v + -38 Reorder the terms: -24 + 3v = -38 + 5v Solving -24 + 3v = -38 + 5v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '-5v' to each side of the equation. -24 + 3v + -5v = -38 + 5v + -5v Combine like terms: 3v + -5v = -2v -24 + -2v = -38 + 5v + -5v Combine like terms: 5v + -5v = 0 -24 + -2v = -38 + 0 -24 + -2v = -38 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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