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Simplifying 12v + 3 + -6v + -9 = 2(v + -7) Reorder the terms: 3 + -9 + 12v + -6v = 2(v + -7) Combine like terms: 3 + -9 = -6 -6 + 12v + -6v = 2(v + -7) Combine like terms: 12v + -6v = 6v -6 + 6v = 2(v + -7) Reorder the terms: -6 + 6v = 2(-7 + v) -6 + 6v = (-7 * 2 + v * 2) -6 + 6v = (-14 + 2v) Solving -6 + 6v = -14 + 2v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '-2v' to each side of the equation. -6 + 6v + -2v = -14 + 2v + -2v Combine like terms: 6v + -2v = 4v -6 + 4v = -14 + 2v + -2v Combine like terms: 2v + -2v = 0 -6 + 4v = -14 + 0 -6 + 4v = -14 Add '6' to each side of the equation. -6 + 6 + 4v = -14 + 6 Combine like terms: -6 + 6 = 0 0 + 4v = -14 + 6 4v = -14 + 6 Combine like terms: -14 + 6 = -8 4v = -8 Divide each side by '4'. v = -2 Simplifying v = -2
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