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Simplifying 8 + -2xn = 4x(3 + -1n) + -14 8 + -2nx = (3 * 4x + -1n * 4x) + -14 Reorder the terms: 8 + -2nx = (-4nx + 12x) + -14 8 + -2nx = (-4nx + 12x) + -14 Reorder the terms: 8 + -2nx = -14 + -4nx + 12x Solving 8 + -2nx = -14 + -4nx + 12x Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '4nx' to each side of the equation. 8 + -2nx + 4nx = -14 + -4nx + 4nx + 12x Combine like terms: -2nx + 4nx = 2nx 8 + 2nx = -14 + -4nx + 4nx + 12x Combine like terms: -4nx + 4nx = 0 8 + 2nx = -14 + 0 + 12x 8 + 2nx = -14 + 12x Add '-8' to each side of the equation. 8 + -8 + 2nx = -14 + -8 + 12x Combine like terms: 8 + -8 = 0 0 + 2nx = -14 + -8 + 12x 2nx = -14 + -8 + 12x Combine like terms: -14 + -8 = -22 2nx = -22 + 12x Divide each side by '2x'. n = -11x-1 + 6 Simplifying n = -11x-1 + 6 Reorder the terms: n = 6 + -11x-1
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