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Simplifying v2 + 10v + 16 = (v + 8)(v + 0) Reorder the terms: 16 + 10v + v2 = (v + 8)(v + 0) Reorder the terms: 16 + 10v + v2 = (8 + v)(v + 0) Reorder the terms: 16 + 10v + v2 = (8 + v)(0 + v) Remove the zero: 16 + 10v + v2 = (8 + v)(v) Reorder the terms for easier multiplication: 16 + 10v + v2 = v(8 + v) 16 + 10v + v2 = (8 * v + v * v) 16 + 10v + v2 = (8v + v2) Add '-1v2' to each side of the equation. 16 + 10v + v2 + -1v2 = 8v + v2 + -1v2 Combine like terms: v2 + -1v2 = 0 16 + 10v + 0 = 8v + v2 + -1v2 16 + 10v = 8v + v2 + -1v2 Combine like terms: v2 + -1v2 = 0 16 + 10v = 8v + 0 16 + 10v = 8v Solving 16 + 10v = 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. 16 + 10v + -8v = 8v + -8v Combine like terms: 10v + -8v = 2v 16 + 2v = 8v + -8v Combine like terms: 8v + -8v = 0 16 + 2v = 0 Add '-16' to each side of the equation. 16 + -16 + 2v = 0 + -16 Combine like terms: 16 + -16 = 0 0 + 2v = 0 + -16 2v = 0 + -16 Combine like terms: 0 + -16 = -16 2v = -16 Divide each side by '2'. v = -8 Simplifying v = -8
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