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Simplifying 3(v + 8) = 8v + -1 Reorder the terms: 3(8 + v) = 8v + -1 (8 * 3 + v * 3) = 8v + -1 (24 + 3v) = 8v + -1 Reorder the terms: 24 + 3v = -1 + 8v Solving 24 + 3v = -1 + 8v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '-8v' to each side of the equation. 24 + 3v + -8v = -1 + 8v + -8v Combine like terms: 3v + -8v = -5v 24 + -5v = -1 + 8v + -8v Combine like terms: 8v + -8v = 0 24 + -5v = -1 + 0 24 + -5v = -1 Add '-24' to each side of the equation. 24 + -24 + -5v = -1 + -24 Combine like terms: 24 + -24 = 0 0 + -5v = -1 + -24 -5v = -1 + -24 Combine like terms: -1 + -24 = -25 -5v = -25 Divide each side by '-5'. v = 5 Simplifying v = 5
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