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Simplifying 8(v + 4) + v = 6v + 32 Reorder the terms: 8(4 + v) + v = 6v + 32 (4 * 8 + v * 8) + v = 6v + 32 (32 + 8v) + v = 6v + 32 Combine like terms: 8v + v = 9v 32 + 9v = 6v + 32 Reorder the terms: 32 + 9v = 32 + 6v Add '-32' to each side of the equation. 32 + -32 + 9v = 32 + -32 + 6v Combine like terms: 32 + -32 = 0 0 + 9v = 32 + -32 + 6v 9v = 32 + -32 + 6v Combine like terms: 32 + -32 = 0 9v = 0 + 6v 9v = 6v Solving 9v = 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. 9v + -6v = 6v + -6v Combine like terms: 9v + -6v = 3v 3v = 6v + -6v Combine like terms: 6v + -6v = 0 3v = 0 Divide each side by '3'. v = 0 Simplifying v = 0
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