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Simplifying -9v + 21 = -6(v + -7) Reorder the terms: 21 + -9v = -6(v + -7) Reorder the terms: 21 + -9v = -6(-7 + v) 21 + -9v = (-7 * -6 + v * -6) 21 + -9v = (42 + -6v) Solving 21 + -9v = 42 + -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 = 42 + -6v + 6v Combine like terms: -9v + 6v = -3v 21 + -3v = 42 + -6v + 6v Combine like terms: -6v + 6v = 0 21 + -3v = 42 + 0 21 + -3v = 42 Add '-21' to each side of the equation. 21 + -21 + -3v = 42 + -21 Combine like terms: 21 + -21 = 0 0 + -3v = 42 + -21 -3v = 42 + -21 Combine like terms: 42 + -21 = 21 -3v = 21 Divide each side by '-3'. v = -7 Simplifying v = -7
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