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Simplifying -6 = -6v + 3(v + 6) Reorder the terms: -6 = -6v + 3(6 + v) -6 = -6v + (6 * 3 + v * 3) -6 = -6v + (18 + 3v) Reorder the terms: -6 = 18 + -6v + 3v Combine like terms: -6v + 3v = -3v -6 = 18 + -3v Solving -6 = 18 + -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 = 18 + -3v + 3v Combine like terms: -3v + 3v = 0 -6 + 3v = 18 + 0 -6 + 3v = 18 Add '6' to each side of the equation. -6 + 6 + 3v = 18 + 6 Combine like terms: -6 + 6 = 0 0 + 3v = 18 + 6 3v = 18 + 6 Combine like terms: 18 + 6 = 24 3v = 24 Divide each side by '3'. v = 8 Simplifying v = 8
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