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Simplifying 24 + 7v = 5(6 + v) + 4 24 + 7v = (6 * 5 + v * 5) + 4 24 + 7v = (30 + 5v) + 4 Reorder the terms: 24 + 7v = 30 + 4 + 5v Combine like terms: 30 + 4 = 34 24 + 7v = 34 + 5v Solving 24 + 7v = 34 + 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. 24 + 7v + -5v = 34 + 5v + -5v Combine like terms: 7v + -5v = 2v 24 + 2v = 34 + 5v + -5v Combine like terms: 5v + -5v = 0 24 + 2v = 34 + 0 24 + 2v = 34 Add '-24' to each side of the equation. 24 + -24 + 2v = 34 + -24 Combine like terms: 24 + -24 = 0 0 + 2v = 34 + -24 2v = 34 + -24 Combine like terms: 34 + -24 = 10 2v = 10 Divide each side by '2'. v = 5 Simplifying v = 5
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