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Simplifying 2(1 + x) + 3n = 4(x + 5) (1 * 2 + x * 2) + 3n = 4(x + 5) (2 + 2x) + 3n = 4(x + 5) Reorder the terms: 2 + 3n + 2x = 4(x + 5) Reorder the terms: 2 + 3n + 2x = 4(5 + x) 2 + 3n + 2x = (5 * 4 + x * 4) 2 + 3n + 2x = (20 + 4x) Solving 2 + 3n + 2x = 20 + 4x 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 + 3n + -2 + 2x = 20 + -2 + 4x Reorder the terms: 2 + -2 + 3n + 2x = 20 + -2 + 4x Combine like terms: 2 + -2 = 0 0 + 3n + 2x = 20 + -2 + 4x 3n + 2x = 20 + -2 + 4x Combine like terms: 20 + -2 = 18 3n + 2x = 18 + 4x Add '-2x' to each side of the equation. 3n + 2x + -2x = 18 + 4x + -2x Combine like terms: 2x + -2x = 0 3n + 0 = 18 + 4x + -2x 3n = 18 + 4x + -2x Combine like terms: 4x + -2x = 2x 3n = 18 + 2x Divide each side by '3'. n = 6 + 0.6666666667x Simplifying n = 6 + 0.6666666667x
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