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Simplifying -4v + -21 = -6(v + 4) + -1 Reorder the terms: -21 + -4v = -6(v + 4) + -1 Reorder the terms: -21 + -4v = -6(4 + v) + -1 -21 + -4v = (4 * -6 + v * -6) + -1 -21 + -4v = (-24 + -6v) + -1 Reorder the terms: -21 + -4v = -24 + -1 + -6v Combine like terms: -24 + -1 = -25 -21 + -4v = -25 + -6v Solving -21 + -4v = -25 + -6v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '6v' to each side of the equation. -21 + -4v + 6v = -25 + -6v + 6v Combine like terms: -4v + 6v = 2v -21 + 2v = -25 + -6v + 6v Combine like terms: -6v + 6v = 0 -21 + 2v = -25 + 0 -21 + 2v = -25 Add '21' to each side of the equation. -21 + 21 + 2v = -25 + 21 Combine like terms: -21 + 21 = 0 0 + 2v = -25 + 21 2v = -25 + 21 Combine like terms: -25 + 21 = -4 2v = -4 Divide each side by '2'. v = -2 Simplifying v = -2
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