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Simplifying 8v + 28 = 5(v + 2) Reorder the terms: 28 + 8v = 5(v + 2) Reorder the terms: 28 + 8v = 5(2 + v) 28 + 8v = (2 * 5 + v * 5) 28 + 8v = (10 + 5v) Solving 28 + 8v = 10 + 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. 28 + 8v + -5v = 10 + 5v + -5v Combine like terms: 8v + -5v = 3v 28 + 3v = 10 + 5v + -5v Combine like terms: 5v + -5v = 0 28 + 3v = 10 + 0 28 + 3v = 10 Add '-28' to each side of the equation. 28 + -28 + 3v = 10 + -28 Combine like terms: 28 + -28 = 0 0 + 3v = 10 + -28 3v = 10 + -28 Combine like terms: 10 + -28 = -18 3v = -18 Divide each side by '3'. v = -6 Simplifying v = -6
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