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Simplifying 21 + v = 5(-5v + -1) Reorder the terms: 21 + v = 5(-1 + -5v) 21 + v = (-1 * 5 + -5v * 5) 21 + v = (-5 + -25v) Solving 21 + v = -5 + -25v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '25v' to each side of the equation. 21 + v + 25v = -5 + -25v + 25v Combine like terms: v + 25v = 26v 21 + 26v = -5 + -25v + 25v Combine like terms: -25v + 25v = 0 21 + 26v = -5 + 0 21 + 26v = -5 Add '-21' to each side of the equation. 21 + -21 + 26v = -5 + -21 Combine like terms: 21 + -21 = 0 0 + 26v = -5 + -21 26v = -5 + -21 Combine like terms: -5 + -21 = -26 26v = -26 Divide each side by '26'. v = -1 Simplifying v = -1
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