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Simplifying -6v + -24 = -9(v + 6) Reorder the terms: -24 + -6v = -9(v + 6) Reorder the terms: -24 + -6v = -9(6 + v) -24 + -6v = (6 * -9 + v * -9) -24 + -6v = (-54 + -9v) Solving -24 + -6v = -54 + -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 = -54 + -9v + 9v Combine like terms: -6v + 9v = 3v -24 + 3v = -54 + -9v + 9v Combine like terms: -9v + 9v = 0 -24 + 3v = -54 + 0 -24 + 3v = -54 Add '24' to each side of the equation. -24 + 24 + 3v = -54 + 24 Combine like terms: -24 + 24 = 0 0 + 3v = -54 + 24 3v = -54 + 24 Combine like terms: -54 + 24 = -30 3v = -30 Divide each side by '3'. v = -10 Simplifying v = -10
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