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Simplifying (2a + -1) * v2 + -2nv + 1 = 0 Reorder the terms: (-1 + 2a) * v2 + -2nv + 1 = 0 Reorder the terms for easier multiplication: v2(-1 + 2a) + -2nv + 1 = 0 (-1 * v2 + 2a * v2) + -2nv + 1 = 0 Reorder the terms: (2av2 + -1v2) + -2nv + 1 = 0 (2av2 + -1v2) + -2nv + 1 = 0 Reorder the terms: 1 + 2av2 + -2nv + -1v2 = 0 Solving 1 + 2av2 + -2nv + -1v2 = 0 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + 2av2 + -2nv + -1 + -1v2 = 0 + -1 Reorder the terms: 1 + -1 + 2av2 + -2nv + -1v2 = 0 + -1 Combine like terms: 1 + -1 = 0 0 + 2av2 + -2nv + -1v2 = 0 + -1 2av2 + -2nv + -1v2 = 0 + -1 Combine like terms: 0 + -1 = -1 2av2 + -2nv + -1v2 = -1 Add '2nv' to each side of the equation. 2av2 + -2nv + 2nv + -1v2 = -1 + 2nv Combine like terms: -2nv + 2nv = 0 2av2 + 0 + -1v2 = -1 + 2nv 2av2 + -1v2 = -1 + 2nv Add 'v2' to each side of the equation. 2av2 + -1v2 + v2 = -1 + 2nv + v2 Combine like terms: -1v2 + v2 = 0 2av2 + 0 = -1 + 2nv + v2 2av2 = -1 + 2nv + v2 Divide each side by '2v2'. a = -0.5v-2 + nv-1 + 0.5 Simplifying a = -0.5v-2 + nv-1 + 0.5 Reorder the terms: a = 0.5 + nv-1 + -0.5v-2
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