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Simplifying 5x(n + 2) = 3x(n + -4) Reorder the terms: 5x(2 + n) = 3x(n + -4) (2 * 5x + n * 5x) = 3x(n + -4) Reorder the terms: (5nx + 10x) = 3x(n + -4) (5nx + 10x) = 3x(n + -4) Reorder the terms: 5nx + 10x = 3x(-4 + n) 5nx + 10x = (-4 * 3x + n * 3x) Reorder the terms: 5nx + 10x = (3nx + -12x) 5nx + 10x = (3nx + -12x) Solving 5nx + 10x = 3nx + -12x Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-3nx' to each side of the equation. 5nx + -3nx + 10x = 3nx + -3nx + -12x Combine like terms: 5nx + -3nx = 2nx 2nx + 10x = 3nx + -3nx + -12x Combine like terms: 3nx + -3nx = 0 2nx + 10x = 0 + -12x 2nx + 10x = -12x Add '-10x' to each side of the equation. 2nx + 10x + -10x = -12x + -10x Combine like terms: 10x + -10x = 0 2nx + 0 = -12x + -10x 2nx = -12x + -10x Combine like terms: -12x + -10x = -22x 2nx = -22x Divide each side by '2x'. n = -11 Simplifying n = -11
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