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Simplifying -9(v + 2) + 4v + 6 = 5v + 12 Reorder the terms: -9(2 + v) + 4v + 6 = 5v + 12 (2 * -9 + v * -9) + 4v + 6 = 5v + 12 (-18 + -9v) + 4v + 6 = 5v + 12 Reorder the terms: -18 + 6 + -9v + 4v = 5v + 12 Combine like terms: -18 + 6 = -12 -12 + -9v + 4v = 5v + 12 Combine like terms: -9v + 4v = -5v -12 + -5v = 5v + 12 Reorder the terms: -12 + -5v = 12 + 5v Solving -12 + -5v = 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. -12 + -5v + -5v = 12 + 5v + -5v Combine like terms: -5v + -5v = -10v -12 + -10v = 12 + 5v + -5v Combine like terms: 5v + -5v = 0 -12 + -10v = 12 + 0 -12 + -10v = 12 Add '12' to each side of the equation. -12 + 12 + -10v = 12 + 12 Combine like terms: -12 + 12 = 0 0 + -10v = 12 + 12 -10v = 12 + 12 Combine like terms: 12 + 12 = 24 -10v = 24 Divide each side by '-10'. v = -2.4 Simplifying v = -2.4
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