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Simplifying 9v + -21 = 5(v + -5) Reorder the terms: -21 + 9v = 5(v + -5) Reorder the terms: -21 + 9v = 5(-5 + v) -21 + 9v = (-5 * 5 + v * 5) -21 + 9v = (-25 + 5v) Solving -21 + 9v = -25 + 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 + 9v + -5v = -25 + 5v + -5v Combine like terms: 9v + -5v = 4v -21 + 4v = -25 + 5v + -5v Combine like terms: 5v + -5v = 0 -21 + 4v = -25 + 0 -21 + 4v = -25 Add '21' to each side of the equation. -21 + 21 + 4v = -25 + 21 Combine like terms: -21 + 21 = 0 0 + 4v = -25 + 21 4v = -25 + 21 Combine like terms: -25 + 21 = -4 4v = -4 Divide each side by '4'. v = -1 Simplifying v = -1
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