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Simplifying 8(v + 2) + 3v + 7 = 6v + 7 Reorder the terms: 8(2 + v) + 3v + 7 = 6v + 7 (2 * 8 + v * 8) + 3v + 7 = 6v + 7 (16 + 8v) + 3v + 7 = 6v + 7 Reorder the terms: 16 + 7 + 8v + 3v = 6v + 7 Combine like terms: 16 + 7 = 23 23 + 8v + 3v = 6v + 7 Combine like terms: 8v + 3v = 11v 23 + 11v = 6v + 7 Reorder the terms: 23 + 11v = 7 + 6v Solving 23 + 11v = 7 + 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. 23 + 11v + -6v = 7 + 6v + -6v Combine like terms: 11v + -6v = 5v 23 + 5v = 7 + 6v + -6v Combine like terms: 6v + -6v = 0 23 + 5v = 7 + 0 23 + 5v = 7 Add '-23' to each side of the equation. 23 + -23 + 5v = 7 + -23 Combine like terms: 23 + -23 = 0 0 + 5v = 7 + -23 5v = 7 + -23 Combine like terms: 7 + -23 = -16 5v = -16 Divide each side by '5'. v = -3.2 Simplifying v = -3.2
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