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Simplifying 4x(n + -2) + 2n = 20 + 2n Reorder the terms: 4x(-2 + n) + 2n = 20 + 2n (-2 * 4x + n * 4x) + 2n = 20 + 2n Reorder the terms: (4nx + -8x) + 2n = 20 + 2n (4nx + -8x) + 2n = 20 + 2n Reorder the terms: 2n + 4nx + -8x = 20 + 2n Add '-2n' to each side of the equation. 2n + 4nx + -2n + -8x = 20 + 2n + -2n Reorder the terms: 2n + -2n + 4nx + -8x = 20 + 2n + -2n Combine like terms: 2n + -2n = 0 0 + 4nx + -8x = 20 + 2n + -2n 4nx + -8x = 20 + 2n + -2n Combine like terms: 2n + -2n = 0 4nx + -8x = 20 + 0 4nx + -8x = 20 Solving 4nx + -8x = 20 Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '8x' to each side of the equation. 4nx + -8x + 8x = 20 + 8x Combine like terms: -8x + 8x = 0 4nx + 0 = 20 + 8x 4nx = 20 + 8x Divide each side by '4x'. n = 5x-1 + 2 Simplifying n = 5x-1 + 2 Reorder the terms: n = 2 + 5x-1
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