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Simplifying 12 = 3(v + -6) Reorder the terms: 12 = 3(-6 + v) 12 = (-6 * 3 + v * 3) 12 = (-18 + 3v) Solving 12 = -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. 12 + -3v = -18 + 3v + -3v Combine like terms: 3v + -3v = 0 12 + -3v = -18 + 0 12 + -3v = -18 Add '-12' to each side of the equation. 12 + -12 + -3v = -18 + -12 Combine like terms: 12 + -12 = 0 0 + -3v = -18 + -12 -3v = -18 + -12 Combine like terms: -18 + -12 = -30 -3v = -30 Divide each side by '-3'. v = 10 Simplifying v = 10
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