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Simplifying -9(v + 2) + 2v + 6 = 6v + 12 Reorder the terms: -9(2 + v) + 2v + 6 = 6v + 12 (2 * -9 + v * -9) + 2v + 6 = 6v + 12 (-18 + -9v) + 2v + 6 = 6v + 12 Reorder the terms: -18 + 6 + -9v + 2v = 6v + 12 Combine like terms: -18 + 6 = -12 -12 + -9v + 2v = 6v + 12 Combine like terms: -9v + 2v = -7v -12 + -7v = 6v + 12 Reorder the terms: -12 + -7v = 12 + 6v Solving -12 + -7v = 12 + 6v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '-6v' to each side of the equation. -12 + -7v + -6v = 12 + 6v + -6v Combine like terms: -7v + -6v = -13v -12 + -13v = 12 + 6v + -6v Combine like terms: 6v + -6v = 0 -12 + -13v = 12 + 0 -12 + -13v = 12 Add '12' to each side of the equation. -12 + 12 + -13v = 12 + 12 Combine like terms: -12 + 12 = 0 0 + -13v = 12 + 12 -13v = 12 + 12 Combine like terms: 12 + 12 = 24 -13v = 24 Divide each side by '-13'. v = -1.846153846 Simplifying v = -1.846153846
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