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Simplifying 9v + -18 = 2(v + 5) Reorder the terms: -18 + 9v = 2(v + 5) Reorder the terms: -18 + 9v = 2(5 + v) -18 + 9v = (5 * 2 + v * 2) -18 + 9v = (10 + 2v) Solving -18 + 9v = 10 + 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. -18 + 9v + -2v = 10 + 2v + -2v Combine like terms: 9v + -2v = 7v -18 + 7v = 10 + 2v + -2v Combine like terms: 2v + -2v = 0 -18 + 7v = 10 + 0 -18 + 7v = 10 Add '18' to each side of the equation. -18 + 18 + 7v = 10 + 18 Combine like terms: -18 + 18 = 0 0 + 7v = 10 + 18 7v = 10 + 18 Combine like terms: 10 + 18 = 28 7v = 28 Divide each side by '7'. v = 4 Simplifying v = 4
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