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Simplifying 9v + 21 = 4(v + -6) Reorder the terms: 21 + 9v = 4(v + -6) Reorder the terms: 21 + 9v = 4(-6 + v) 21 + 9v = (-6 * 4 + v * 4) 21 + 9v = (-24 + 4v) Solving 21 + 9v = -24 + 4v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '-4v' to each side of the equation. 21 + 9v + -4v = -24 + 4v + -4v Combine like terms: 9v + -4v = 5v 21 + 5v = -24 + 4v + -4v Combine like terms: 4v + -4v = 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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