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Simplifying 6(v + 2) + 8v = -16 Reorder the terms: 6(2 + v) + 8v = -16 (2 * 6 + v * 6) + 8v = -16 (12 + 6v) + 8v = -16 Combine like terms: 6v + 8v = 14v 12 + 14v = -16 Solving 12 + 14v = -16 Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '-12' to each side of the equation. 12 + -12 + 14v = -16 + -12 Combine like terms: 12 + -12 = 0 0 + 14v = -16 + -12 14v = -16 + -12 Combine like terms: -16 + -12 = -28 14v = -28 Divide each side by '14'. v = -2 Simplifying v = -2
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