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Simplifying 6v + -21 = -3(12 + v) Reorder the terms: -21 + 6v = -3(12 + v) -21 + 6v = (12 * -3 + v * -3) -21 + 6v = (-36 + -3v) Solving -21 + 6v = -36 + -3v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '3v' to each side of the equation. -21 + 6v + 3v = -36 + -3v + 3v Combine like terms: 6v + 3v = 9v -21 + 9v = -36 + -3v + 3v Combine like terms: -3v + 3v = 0 -21 + 9v = -36 + 0 -21 + 9v = -36 Add '21' to each side of the equation. -21 + 21 + 9v = -36 + 21 Combine like terms: -21 + 21 = 0 0 + 9v = -36 + 21 9v = -36 + 21 Combine like terms: -36 + 21 = -15 9v = -15 Divide each side by '9'. v = -1.666666667 Simplifying v = -1.666666667
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