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Simplifying 21 = 3(v + -8) + -8v Reorder the terms: 21 = 3(-8 + v) + -8v 21 = (-8 * 3 + v * 3) + -8v 21 = (-24 + 3v) + -8v Combine like terms: 3v + -8v = -5v 21 = -24 + -5v Solving 21 = -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 + 5v = -24 + -5v + 5v Combine like terms: -5v + 5v = 0 21 + 5v = -24 + 0 21 + 5v = -24 Add '-21' to each side of the equation. 21 + -21 + 5v = -24 + -21 Combine like terms: 21 + -21 = 0 0 + 5v = -24 + -21 5v = -24 + -21 Combine like terms: -24 + -21 = -45 5v = -45 Divide each side by '5'. v = -9 Simplifying v = -9
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