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Simplifying 2v + -21 = -1(v + -3) Reorder the terms: -21 + 2v = -1(v + -3) Reorder the terms: -21 + 2v = -1(-3 + v) -21 + 2v = (-3 * -1 + v * -1) -21 + 2v = (3 + -1v) Solving -21 + 2v = 3 + -1v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add 'v' to each side of the equation. -21 + 2v + v = 3 + -1v + v Combine like terms: 2v + v = 3v -21 + 3v = 3 + -1v + v Combine like terms: -1v + v = 0 -21 + 3v = 3 + 0 -21 + 3v = 3 Add '21' to each side of the equation. -21 + 21 + 3v = 3 + 21 Combine like terms: -21 + 21 = 0 0 + 3v = 3 + 21 3v = 3 + 21 Combine like terms: 3 + 21 = 24 3v = 24 Divide each side by '3'. v = 8 Simplifying v = 8
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