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Simplifying 8(v + 4) = 6v + 16 Reorder the terms: 8(4 + v) = 6v + 16 (4 * 8 + v * 8) = 6v + 16 (32 + 8v) = 6v + 16 Reorder the terms: 32 + 8v = 16 + 6v Solving 32 + 8v = 16 + 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. 32 + 8v + -6v = 16 + 6v + -6v Combine like terms: 8v + -6v = 2v 32 + 2v = 16 + 6v + -6v Combine like terms: 6v + -6v = 0 32 + 2v = 16 + 0 32 + 2v = 16 Add '-32' to each side of the equation. 32 + -32 + 2v = 16 + -32 Combine like terms: 32 + -32 = 0 0 + 2v = 16 + -32 2v = 16 + -32 Combine like terms: 16 + -32 = -16 2v = -16 Divide each side by '2'. v = -8 Simplifying v = -8
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