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Simplifying 13v + 18 + -6v = 5(v + 6) Reorder the terms: 18 + 13v + -6v = 5(v + 6) Combine like terms: 13v + -6v = 7v 18 + 7v = 5(v + 6) Reorder the terms: 18 + 7v = 5(6 + v) 18 + 7v = (6 * 5 + v * 5) 18 + 7v = (30 + 5v) Solving 18 + 7v = 30 + 5v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '-5v' to each side of the equation. 18 + 7v + -5v = 30 + 5v + -5v Combine like terms: 7v + -5v = 2v 18 + 2v = 30 + 5v + -5v Combine like terms: 5v + -5v = 0 18 + 2v = 30 + 0 18 + 2v = 30 Add '-18' to each side of the equation. 18 + -18 + 2v = 30 + -18 Combine like terms: 18 + -18 = 0 0 + 2v = 30 + -18 2v = 30 + -18 Combine like terms: 30 + -18 = 12 2v = 12 Divide each side by '2'. v = 6 Simplifying v = 6
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