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Simplifying -8(v + 4) = 3v + 13 Reorder the terms: -8(4 + v) = 3v + 13 (4 * -8 + v * -8) = 3v + 13 (-32 + -8v) = 3v + 13 Reorder the terms: -32 + -8v = 13 + 3v Solving -32 + -8v = 13 + 3v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '-3v' to each side of the equation. -32 + -8v + -3v = 13 + 3v + -3v Combine like terms: -8v + -3v = -11v -32 + -11v = 13 + 3v + -3v Combine like terms: 3v + -3v = 0 -32 + -11v = 13 + 0 -32 + -11v = 13 Add '32' to each side of the equation. -32 + 32 + -11v = 13 + 32 Combine like terms: -32 + 32 = 0 0 + -11v = 13 + 32 -11v = 13 + 32 Combine like terms: 13 + 32 = 45 -11v = 45 Divide each side by '-11'. v = -4.090909091 Simplifying v = -4.090909091
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