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Simplifying -8(n + 2) + 19 = -5n + -9 Reorder the terms: -8(2 + n) + 19 = -5n + -9 (2 * -8 + n * -8) + 19 = -5n + -9 (-16 + -8n) + 19 = -5n + -9 Reorder the terms: -16 + 19 + -8n = -5n + -9 Combine like terms: -16 + 19 = 3 3 + -8n = -5n + -9 Reorder the terms: 3 + -8n = -9 + -5n Solving 3 + -8n = -9 + -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. 3 + -8n + 5n = -9 + -5n + 5n Combine like terms: -8n + 5n = -3n 3 + -3n = -9 + -5n + 5n Combine like terms: -5n + 5n = 0 3 + -3n = -9 + 0 3 + -3n = -9 Add '-3' to each side of the equation. 3 + -3 + -3n = -9 + -3 Combine like terms: 3 + -3 = 0 0 + -3n = -9 + -3 -3n = -9 + -3 Combine like terms: -9 + -3 = -12 -3n = -12 Divide each side by '-3'. n = 4 Simplifying n = 4
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