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Simplifying -8(v + 2) + 2v + 6 = 5v + 12 Reorder the terms: -8(2 + v) + 2v + 6 = 5v + 12 (2 * -8 + v * -8) + 2v + 6 = 5v + 12 (-16 + -8v) + 2v + 6 = 5v + 12 Reorder the terms: -16 + 6 + -8v + 2v = 5v + 12 Combine like terms: -16 + 6 = -10 -10 + -8v + 2v = 5v + 12 Combine like terms: -8v + 2v = -6v -10 + -6v = 5v + 12 Reorder the terms: -10 + -6v = 12 + 5v Solving -10 + -6v = 12 + 5v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '-5v' to each side of the equation. -10 + -6v + -5v = 12 + 5v + -5v Combine like terms: -6v + -5v = -11v -10 + -11v = 12 + 5v + -5v Combine like terms: 5v + -5v = 0 -10 + -11v = 12 + 0 -10 + -11v = 12 Add '10' to each side of the equation. -10 + 10 + -11v = 12 + 10 Combine like terms: -10 + 10 = 0 0 + -11v = 12 + 10 -11v = 12 + 10 Combine like terms: 12 + 10 = 22 -11v = 22 Divide each side by '-11'. v = -2 Simplifying v = -2
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