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