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Simplifying -19 = 8n + 2 + -5n Reorder the terms: -19 = 2 + 8n + -5n Combine like terms: 8n + -5n = 3n -19 = 2 + 3n Solving -19 = 2 + 3n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-3n' to each side of the equation. -19 + -3n = 2 + 3n + -3n Combine like terms: 3n + -3n = 0 -19 + -3n = 2 + 0 -19 + -3n = 2 Add '19' to each side of the equation. -19 + 19 + -3n = 2 + 19 Combine like terms: -19 + 19 = 0 0 + -3n = 2 + 19 -3n = 2 + 19 Combine like terms: 2 + 19 = 21 -3n = 21 Divide each side by '-3'. n = -7 Simplifying n = -7
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