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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 = -24 -6v = -24 Divide each side by '-6'. v = 4 Simplifying v = 4
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