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Simplifying v + 24 = v + -3(1 + 3v) Reorder the terms: 24 + v = v + -3(1 + 3v) 24 + v = v + (1 * -3 + 3v * -3) 24 + v = v + (-3 + -9v) Reorder the terms: 24 + v = -3 + v + -9v Combine like terms: v + -9v = -8v 24 + v = -3 + -8v Solving 24 + v = -3 + -8v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '8v' to each side of the equation. 24 + v + 8v = -3 + -8v + 8v Combine like terms: v + 8v = 9v 24 + 9v = -3 + -8v + 8v Combine like terms: -8v + 8v = 0 24 + 9v = -3 + 0 24 + 9v = -3 Add '-24' to each side of the equation. 24 + -24 + 9v = -3 + -24 Combine like terms: 24 + -24 = 0 0 + 9v = -3 + -24 9v = -3 + -24 Combine like terms: -3 + -24 = -27 9v = -27 Divide each side by '9'. v = -3 Simplifying v = -3
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