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Simplifying 8(v + 1) = 2v + 38 Reorder the terms: 8(1 + v) = 2v + 38 (1 * 8 + v * 8) = 2v + 38 (8 + 8v) = 2v + 38 Reorder the terms: 8 + 8v = 38 + 2v Solving 8 + 8v = 38 + 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. 8 + 8v + -2v = 38 + 2v + -2v Combine like terms: 8v + -2v = 6v 8 + 6v = 38 + 2v + -2v Combine like terms: 2v + -2v = 0 8 + 6v = 38 + 0 8 + 6v = 38 Add '-8' to each side of the equation. 8 + -8 + 6v = 38 + -8 Combine like terms: 8 + -8 = 0 0 + 6v = 38 + -8 6v = 38 + -8 Combine like terms: 38 + -8 = 30 6v = 30 Divide each side by '6'. v = 5 Simplifying v = 5
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