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Simplifying -13n = 8n + -3(n + -4) Reorder the terms: -13n = 8n + -3(-4 + n) -13n = 8n + (-4 * -3 + n * -3) -13n = 8n + (12 + -3n) Reorder the terms: -13n = 12 + 8n + -3n Combine like terms: 8n + -3n = 5n -13n = 12 + 5n Solving -13n = 12 + 5n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-5n' to each side of the equation. -13n + -5n = 12 + 5n + -5n Combine like terms: -13n + -5n = -18n -18n = 12 + 5n + -5n Combine like terms: 5n + -5n = 0 -18n = 12 + 0 -18n = 12 Divide each side by '-18'. n = -0.6666666667 Simplifying n = -0.6666666667
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