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Simplifying 9v + -12 = 6(v + 3) Reorder the terms: -12 + 9v = 6(v + 3) Reorder the terms: -12 + 9v = 6(3 + v) -12 + 9v = (3 * 6 + v * 6) -12 + 9v = (18 + 6v) Solving -12 + 9v = 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. -12 + 9v + -6v = 18 + 6v + -6v Combine like terms: 9v + -6v = 3v -12 + 3v = 18 + 6v + -6v Combine like terms: 6v + -6v = 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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