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Simplifying nx + -2(n + 1) * x + 8 = 0 Reorder the terms: nx + -2(1 + n) * x + 8 = 0 Reorder the terms for easier multiplication: nx + -2x(1 + n) + 8 = 0 nx + (1 * -2x + n * -2x) + 8 = 0 Reorder the terms: nx + (-2nx + -2x) + 8 = 0 nx + (-2nx + -2x) + 8 = 0 Reorder the terms: 8 + nx + -2nx + -2x = 0 Combine like terms: nx + -2nx = -1nx 8 + -1nx + -2x = 0 Solving 8 + -1nx + -2x = 0 Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-8' to each side of the equation. 8 + -1nx + -8 + -2x = 0 + -8 Reorder the terms: 8 + -8 + -1nx + -2x = 0 + -8 Combine like terms: 8 + -8 = 0 0 + -1nx + -2x = 0 + -8 -1nx + -2x = 0 + -8 Combine like terms: 0 + -8 = -8 -1nx + -2x = -8 Add '2x' to each side of the equation. -1nx + -2x + 2x = -8 + 2x Combine like terms: -2x + 2x = 0 -1nx + 0 = -8 + 2x -1nx = -8 + 2x Divide each side by '-1x'. n = 8x-1 + -2 Simplifying n = 8x-1 + -2 Reorder the terms: n = -2 + 8x-1
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