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Simplifying -3v + -21 = -2(v + 3) Reorder the terms: -21 + -3v = -2(v + 3) Reorder the terms: -21 + -3v = -2(3 + v) -21 + -3v = (3 * -2 + v * -2) -21 + -3v = (-6 + -2v) Solving -21 + -3v = -6 + -2v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '2v' to each side of the equation. -21 + -3v + 2v = -6 + -2v + 2v Combine like terms: -3v + 2v = -1v -21 + -1v = -6 + -2v + 2v Combine like terms: -2v + 2v = 0 -21 + -1v = -6 + 0 -21 + -1v = -6 Add '21' to each side of the equation. -21 + 21 + -1v = -6 + 21 Combine like terms: -21 + 21 = 0 0 + -1v = -6 + 21 -1v = -6 + 21 Combine like terms: -6 + 21 = 15 -1v = 15 Divide each side by '-1'. v = -15 Simplifying v = -15
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