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Simplifying 3x(n + 5) + 2 = 26 Reorder the terms: 3x(5 + n) + 2 = 26 (5 * 3x + n * 3x) + 2 = 26 Reorder the terms: (3nx + 15x) + 2 = 26 (3nx + 15x) + 2 = 26 Reorder the terms: 2 + 3nx + 15x = 26 Solving 2 + 3nx + 15x = 26 Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-2' to each side of the equation. 2 + 3nx + -2 + 15x = 26 + -2 Reorder the terms: 2 + -2 + 3nx + 15x = 26 + -2 Combine like terms: 2 + -2 = 0 0 + 3nx + 15x = 26 + -2 3nx + 15x = 26 + -2 Combine like terms: 26 + -2 = 24 3nx + 15x = 24 Add '-15x' to each side of the equation. 3nx + 15x + -15x = 24 + -15x Combine like terms: 15x + -15x = 0 3nx + 0 = 24 + -15x 3nx = 24 + -15x Divide each side by '3x'. n = 8x-1 + -5 Simplifying n = 8x-1 + -5 Reorder the terms: n = -5 + 8x-1
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