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Simplifying -6 = 3(v + -6) + 3v Reorder the terms: -6 = 3(-6 + v) + 3v -6 = (-6 * 3 + v * 3) + 3v -6 = (-18 + 3v) + 3v Combine like terms: 3v + 3v = 6v -6 = -18 + 6v Solving -6 = -18 + 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. -6 + -6v = -18 + 6v + -6v Combine like terms: 6v + -6v = 0 -6 + -6v = -18 + 0 -6 + -6v = -18 Add '6' to each side of the equation. -6 + 6 + -6v = -18 + 6 Combine like terms: -6 + 6 = 0 0 + -6v = -18 + 6 -6v = -18 + 6 Combine like terms: -18 + 6 = -12 -6v = -12 Divide each side by '-6'. v = 2 Simplifying v = 2
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