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Simplifying 8(v + 4) + 2 = 82 Reorder the terms: 8(4 + v) + 2 = 82 (4 * 8 + v * 8) + 2 = 82 (32 + 8v) + 2 = 82 Reorder the terms: 32 + 2 + 8v = 82 Combine like terms: 32 + 2 = 34 34 + 8v = 82 Solving 34 + 8v = 82 Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '-34' to each side of the equation. 34 + -34 + 8v = 82 + -34 Combine like terms: 34 + -34 = 0 0 + 8v = 82 + -34 8v = 82 + -34 Combine like terms: 82 + -34 = 48 8v = 48 Divide each side by '8'. v = 6 Simplifying v = 6
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