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Simplifying -6(v + -4) = -9v + 30 Reorder the terms: -6(-4 + v) = -9v + 30 (-4 * -6 + v * -6) = -9v + 30 (24 + -6v) = -9v + 30 Reorder the terms: 24 + -6v = 30 + -9v Solving 24 + -6v = 30 + -9v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '9v' to each side of the equation. 24 + -6v + 9v = 30 + -9v + 9v Combine like terms: -6v + 9v = 3v 24 + 3v = 30 + -9v + 9v Combine like terms: -9v + 9v = 0 24 + 3v = 30 + 0 24 + 3v = 30 Add '-24' to each side of the equation. 24 + -24 + 3v = 30 + -24 Combine like terms: 24 + -24 = 0 0 + 3v = 30 + -24 3v = 30 + -24 Combine like terms: 30 + -24 = 6 3v = 6 Divide each side by '3'. v = 2 Simplifying v = 2
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