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Simplifying -4(v + -6) = -9v + -21 Reorder the terms: -4(-6 + v) = -9v + -21 (-6 * -4 + v * -4) = -9v + -21 (24 + -4v) = -9v + -21 Reorder the terms: 24 + -4v = -21 + -9v Solving 24 + -4v = -21 + -9v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '9v' to each side of the equation. 24 + -4v + 9v = -21 + -9v + 9v Combine like terms: -4v + 9v = 5v 24 + 5v = -21 + -9v + 9v Combine like terms: -9v + 9v = 0 24 + 5v = -21 + 0 24 + 5v = -21 Add '-24' to each side of the equation. 24 + -24 + 5v = -21 + -24 Combine like terms: 24 + -24 = 0 0 + 5v = -21 + -24 5v = -21 + -24 Combine like terms: -21 + -24 = -45 5v = -45 Divide each side by '5'. v = -9 Simplifying v = -9
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