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Simplifying v + 9 = 18 + -2(v + -3) Reorder the terms: 9 + v = 18 + -2(v + -3) Reorder the terms: 9 + v = 18 + -2(-3 + v) 9 + v = 18 + (-3 * -2 + v * -2) 9 + v = 18 + (6 + -2v) Combine like terms: 18 + 6 = 24 9 + v = 24 + -2v Solving 9 + v = 24 + -2v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '2v' to each side of the equation. 9 + v + 2v = 24 + -2v + 2v Combine like terms: v + 2v = 3v 9 + 3v = 24 + -2v + 2v Combine like terms: -2v + 2v = 0 9 + 3v = 24 + 0 9 + 3v = 24 Add '-9' to each side of the equation. 9 + -9 + 3v = 24 + -9 Combine like terms: 9 + -9 = 0 0 + 3v = 24 + -9 3v = 24 + -9 Combine like terms: 24 + -9 = 15 3v = 15 Divide each side by '3'. v = 5 Simplifying v = 5
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