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Simplifying 5(v + 5) = 4(v + 4) Reorder the terms: 5(5 + v) = 4(v + 4) (5 * 5 + v * 5) = 4(v + 4) (25 + 5v) = 4(v + 4) Reorder the terms: 25 + 5v = 4(4 + v) 25 + 5v = (4 * 4 + v * 4) 25 + 5v = (16 + 4v) Solving 25 + 5v = 16 + 4v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '-4v' to each side of the equation. 25 + 5v + -4v = 16 + 4v + -4v Combine like terms: 5v + -4v = 1v 25 + 1v = 16 + 4v + -4v Combine like terms: 4v + -4v = 0 25 + 1v = 16 + 0 25 + 1v = 16 Add '-25' to each side of the equation. 25 + -25 + 1v = 16 + -25 Combine like terms: 25 + -25 = 0 0 + 1v = 16 + -25 1v = 16 + -25 Combine like terms: 16 + -25 = -9 1v = -9 Divide each side by '1'. v = -9 Simplifying v = -9
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