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Simplifying -6(v + 3) + 2v + 6 = 8v + 6 Reorder the terms: -6(3 + v) + 2v + 6 = 8v + 6 (3 * -6 + v * -6) + 2v + 6 = 8v + 6 (-18 + -6v) + 2v + 6 = 8v + 6 Reorder the terms: -18 + 6 + -6v + 2v = 8v + 6 Combine like terms: -18 + 6 = -12 -12 + -6v + 2v = 8v + 6 Combine like terms: -6v + 2v = -4v -12 + -4v = 8v + 6 Reorder the terms: -12 + -4v = 6 + 8v Solving -12 + -4v = 6 + 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 + -4v + -8v = 6 + 8v + -8v Combine like terms: -4v + -8v = -12v -12 + -12v = 6 + 8v + -8v Combine like terms: 8v + -8v = 0 -12 + -12v = 6 + 0 -12 + -12v = 6 Add '12' to each side of the equation. -12 + 12 + -12v = 6 + 12 Combine like terms: -12 + 12 = 0 0 + -12v = 6 + 12 -12v = 6 + 12 Combine like terms: 6 + 12 = 18 -12v = 18 Divide each side by '-12'. v = -1.5 Simplifying v = -1.5
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