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Simplifying -21 = -8v + 3(v + 8) Reorder the terms: -21 = -8v + 3(8 + v) -21 = -8v + (8 * 3 + v * 3) -21 = -8v + (24 + 3v) Reorder the terms: -21 = 24 + -8v + 3v Combine like terms: -8v + 3v = -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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