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Simplifying 4(v + 6) + 5v = 36 + 6v Reorder the terms: 4(6 + v) + 5v = 36 + 6v (6 * 4 + v * 4) + 5v = 36 + 6v (24 + 4v) + 5v = 36 + 6v Combine like terms: 4v + 5v = 9v 24 + 9v = 36 + 6v Solving 24 + 9v = 36 + 6v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '-6v' to each side of the equation. 24 + 9v + -6v = 36 + 6v + -6v Combine like terms: 9v + -6v = 3v 24 + 3v = 36 + 6v + -6v Combine like terms: 6v + -6v = 0 24 + 3v = 36 + 0 24 + 3v = 36 Add '-24' to each side of the equation. 24 + -24 + 3v = 36 + -24 Combine like terms: 24 + -24 = 0 0 + 3v = 36 + -24 3v = 36 + -24 Combine like terms: 36 + -24 = 12 3v = 12 Divide each side by '3'. v = 4 Simplifying v = 4
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