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Simplifying 5(v + 5) = 8v + 16 Reorder the terms: 5(5 + v) = 8v + 16 (5 * 5 + v * 5) = 8v + 16 (25 + 5v) = 8v + 16 Reorder the terms: 25 + 5v = 16 + 8v Solving 25 + 5v = 16 + 8v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '-8v' to each side of the equation. 25 + 5v + -8v = 16 + 8v + -8v Combine like terms: 5v + -8v = -3v 25 + -3v = 16 + 8v + -8v Combine like terms: 8v + -8v = 0 25 + -3v = 16 + 0 25 + -3v = 16 Add '-25' to each side of the equation. 25 + -25 + -3v = 16 + -25 Combine like terms: 25 + -25 = 0 0 + -3v = 16 + -25 -3v = 16 + -25 Combine like terms: 16 + -25 = -9 -3v = -9 Divide each side by '-3'. v = 3 Simplifying v = 3
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