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Simplifying v2 + 10v + 25 = v2 + 16v + 18 Reorder the terms: 25 + 10v + v2 = v2 + 16v + 18 Reorder the terms: 25 + 10v + v2 = 18 + 16v + v2 Add '-1v2' to each side of the equation. 25 + 10v + v2 + -1v2 = 18 + 16v + v2 + -1v2 Combine like terms: v2 + -1v2 = 0 25 + 10v + 0 = 18 + 16v + v2 + -1v2 25 + 10v = 18 + 16v + v2 + -1v2 Combine like terms: v2 + -1v2 = 0 25 + 10v = 18 + 16v + 0 25 + 10v = 18 + 16v Solving 25 + 10v = 18 + 16v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '-16v' to each side of the equation. 25 + 10v + -16v = 18 + 16v + -16v Combine like terms: 10v + -16v = -6v 25 + -6v = 18 + 16v + -16v Combine like terms: 16v + -16v = 0 25 + -6v = 18 + 0 25 + -6v = 18 Add '-25' to each side of the equation. 25 + -25 + -6v = 18 + -25 Combine like terms: 25 + -25 = 0 0 + -6v = 18 + -25 -6v = 18 + -25 Combine like terms: 18 + -25 = -7 -6v = -7 Divide each side by '-6'. v = 1.166666667 Simplifying v = 1.166666667
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