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Simplifying -3(v + 8) = 32 + 5v Reorder the terms: -3(8 + v) = 32 + 5v (8 * -3 + v * -3) = 32 + 5v (-24 + -3v) = 32 + 5v Solving -24 + -3v = 32 + 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 = 32 + 5v + -5v Combine like terms: -3v + -5v = -8v -24 + -8v = 32 + 5v + -5v Combine like terms: 5v + -5v = 0 -24 + -8v = 32 + 0 -24 + -8v = 32 Add '24' to each side of the equation. -24 + 24 + -8v = 32 + 24 Combine like terms: -24 + 24 = 0 0 + -8v = 32 + 24 -8v = 32 + 24 Combine like terms: 32 + 24 = 56 -8v = 56 Divide each side by '-8'. v = -7 Simplifying v = -7
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