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Simplifying -6 = -6v + 3(v + 7) Reorder the terms: -6 = -6v + 3(7 + v) -6 = -6v + (7 * 3 + v * 3) -6 = -6v + (21 + 3v) Reorder the terms: -6 = 21 + -6v + 3v Combine like terms: -6v + 3v = -3v -6 = 21 + -3v Solving -6 = 21 + -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. -6 + 3v = 21 + -3v + 3v Combine like terms: -3v + 3v = 0 -6 + 3v = 21 + 0 -6 + 3v = 21 Add '6' to each side of the equation. -6 + 6 + 3v = 21 + 6 Combine like terms: -6 + 6 = 0 0 + 3v = 21 + 6 3v = 21 + 6 Combine like terms: 21 + 6 = 27 3v = 27 Divide each side by '3'. v = 9 Simplifying v = 9
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