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Simplifying 8(v + 4) = 5(13 + v) Reorder the terms: 8(4 + v) = 5(13 + v) (4 * 8 + v * 8) = 5(13 + v) (32 + 8v) = 5(13 + v) 32 + 8v = (13 * 5 + v * 5) 32 + 8v = (65 + 5v) Solving 32 + 8v = 65 + 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. 32 + 8v + -5v = 65 + 5v + -5v Combine like terms: 8v + -5v = 3v 32 + 3v = 65 + 5v + -5v Combine like terms: 5v + -5v = 0 32 + 3v = 65 + 0 32 + 3v = 65 Add '-32' to each side of the equation. 32 + -32 + 3v = 65 + -32 Combine like terms: 32 + -32 = 0 0 + 3v = 65 + -32 3v = 65 + -32 Combine like terms: 65 + -32 = 33 3v = 33 Divide each side by '3'. v = 11 Simplifying v = 11
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