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Simplifying 9v + -21 = 6(v + -2) Reorder the terms: -21 + 9v = 6(v + -2) Reorder the terms: -21 + 9v = 6(-2 + v) -21 + 9v = (-2 * 6 + v * 6) -21 + 9v = (-12 + 6v) Solving -21 + 9v = -12 + 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 + 9v + -6v = -12 + 6v + -6v Combine like terms: 9v + -6v = 3v -21 + 3v = -12 + 6v + -6v Combine like terms: 6v + -6v = 0 -21 + 3v = -12 + 0 -21 + 3v = -12 Add '21' to each side of the equation. -21 + 21 + 3v = -12 + 21 Combine like terms: -21 + 21 = 0 0 + 3v = -12 + 21 3v = -12 + 21 Combine like terms: -12 + 21 = 9 3v = 9 Divide each side by '3'. v = 3 Simplifying v = 3
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