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