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Simplifying 9 = -6v + 3(v + 4) Reorder the terms: 9 = -6v + 3(4 + v) 9 = -6v + (4 * 3 + v * 3) 9 = -6v + (12 + 3v) Reorder the terms: 9 = 12 + -6v + 3v Combine like terms: -6v + 3v = -3v 9 = 12 + -3v Solving 9 = 12 + -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. 9 + 3v = 12 + -3v + 3v Combine like terms: -3v + 3v = 0 9 + 3v = 12 + 0 9 + 3v = 12 Add '-9' to each side of the equation. 9 + -9 + 3v = 12 + -9 Combine like terms: 9 + -9 = 0 0 + 3v = 12 + -9 3v = 12 + -9 Combine like terms: 12 + -9 = 3 3v = 3 Divide each side by '3'. v = 1 Simplifying v = 1
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