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Simplifying -3v + -24 = -9(v + -2) Reorder the terms: -24 + -3v = -9(v + -2) Reorder the terms: -24 + -3v = -9(-2 + v) -24 + -3v = (-2 * -9 + v * -9) -24 + -3v = (18 + -9v) Solving -24 + -3v = 18 + -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 + -3v + 9v = 18 + -9v + 9v Combine like terms: -3v + 9v = 6v -24 + 6v = 18 + -9v + 9v Combine like terms: -9v + 9v = 0 -24 + 6v = 18 + 0 -24 + 6v = 18 Add '24' to each side of the equation. -24 + 24 + 6v = 18 + 24 Combine like terms: -24 + 24 = 0 0 + 6v = 18 + 24 6v = 18 + 24 Combine like terms: 18 + 24 = 42 6v = 42 Divide each side by '6'. v = 7 Simplifying v = 7
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