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Simplifying -6(v + 2) + 2v + 6 = 5v + 12 Reorder the terms: -6(2 + v) + 2v + 6 = 5v + 12 (2 * -6 + v * -6) + 2v + 6 = 5v + 12 (-12 + -6v) + 2v + 6 = 5v + 12 Reorder the terms: -12 + 6 + -6v + 2v = 5v + 12 Combine like terms: -12 + 6 = -6 -6 + -6v + 2v = 5v + 12 Combine like terms: -6v + 2v = -4v -6 + -4v = 5v + 12 Reorder the terms: -6 + -4v = 12 + 5v Solving -6 + -4v = 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. -6 + -4v + -5v = 12 + 5v + -5v Combine like terms: -4v + -5v = -9v -6 + -9v = 12 + 5v + -5v Combine like terms: 5v + -5v = 0 -6 + -9v = 12 + 0 -6 + -9v = 12 Add '6' to each side of the equation. -6 + 6 + -9v = 12 + 6 Combine like terms: -6 + 6 = 0 0 + -9v = 12 + 6 -9v = 12 + 6 Combine like terms: 12 + 6 = 18 -9v = 18 Divide each side by '-9'. v = -2 Simplifying v = -2
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