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Simplifying -3 = 3(v + 6) + -6v Reorder the terms: -3 = 3(6 + v) + -6v -3 = (6 * 3 + v * 3) + -6v -3 = (18 + 3v) + -6v Combine like terms: 3v + -6v = -3v -3 = 18 + -3v Solving -3 = 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. -3 + 3v = 18 + -3v + 3v Combine like terms: -3v + 3v = 0 -3 + 3v = 18 + 0 -3 + 3v = 18 Add '3' to each side of the equation. -3 + 3 + 3v = 18 + 3 Combine like terms: -3 + 3 = 0 0 + 3v = 18 + 3 3v = 18 + 3 Combine like terms: 18 + 3 = 21 3v = 21 Divide each side by '3'. v = 7 Simplifying v = 7
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