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Simplifying 4x(n + 1) = 32 Reorder the terms: 4x(1 + n) = 32 (1 * 4x + n * 4x) = 32 Reorder the terms: (4nx + 4x) = 32 (4nx + 4x) = 32 Solving 4nx + 4x = 32 Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-4x' to each side of the equation. 4nx + 4x + -4x = 32 + -4x Combine like terms: 4x + -4x = 0 4nx + 0 = 32 + -4x 4nx = 32 + -4x Divide each side by '4x'. n = 8x-1 + -1 Simplifying n = 8x-1 + -1 Reorder the terms: n = -1 + 8x-1
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