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Simplifying -16 + 8n = -2 + -1(-5n + -5) Reorder the terms: -16 + 8n = -2 + -1(-5 + -5n) -16 + 8n = -2 + (-5 * -1 + -5n * -1) -16 + 8n = -2 + (5 + 5n) Combine like terms: -2 + 5 = 3 -16 + 8n = 3 + 5n Solving -16 + 8n = 3 + 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. -16 + 8n + -5n = 3 + 5n + -5n Combine like terms: 8n + -5n = 3n -16 + 3n = 3 + 5n + -5n Combine like terms: 5n + -5n = 0 -16 + 3n = 3 + 0 -16 + 3n = 3 Add '16' to each side of the equation. -16 + 16 + 3n = 3 + 16 Combine like terms: -16 + 16 = 0 0 + 3n = 3 + 16 3n = 3 + 16 Combine like terms: 3 + 16 = 19 3n = 19 Divide each side by '3'. n = 6.333333333 Simplifying n = 6.333333333
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