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Simplifying 7(3 + -2v) = -5v + -24 (3 * 7 + -2v * 7) = -5v + -24 (21 + -14v) = -5v + -24 Reorder the terms: 21 + -14v = -24 + -5v Solving 21 + -14v = -24 + -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. 21 + -14v + 5v = -24 + -5v + 5v Combine like terms: -14v + 5v = -9v 21 + -9v = -24 + -5v + 5v Combine like terms: -5v + 5v = 0 21 + -9v = -24 + 0 21 + -9v = -24 Add '-21' to each side of the equation. 21 + -21 + -9v = -24 + -21 Combine like terms: 21 + -21 = 0 0 + -9v = -24 + -21 -9v = -24 + -21 Combine like terms: -24 + -21 = -45 -9v = -45 Divide each side by '-9'. v = 5 Simplifying v = 5
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