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Simplifying -8(n + 4) + 36 = -5n + -2 Reorder the terms: -8(4 + n) + 36 = -5n + -2 (4 * -8 + n * -8) + 36 = -5n + -2 (-32 + -8n) + 36 = -5n + -2 Reorder the terms: -32 + 36 + -8n = -5n + -2 Combine like terms: -32 + 36 = 4 4 + -8n = -5n + -2 Reorder the terms: 4 + -8n = -2 + -5n Solving 4 + -8n = -2 + -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. 4 + -8n + 5n = -2 + -5n + 5n Combine like terms: -8n + 5n = -3n 4 + -3n = -2 + -5n + 5n Combine like terms: -5n + 5n = 0 4 + -3n = -2 + 0 4 + -3n = -2 Add '-4' to each side of the equation. 4 + -4 + -3n = -2 + -4 Combine like terms: 4 + -4 = 0 0 + -3n = -2 + -4 -3n = -2 + -4 Combine like terms: -2 + -4 = -6 -3n = -6 Divide each side by '-3'. n = 2 Simplifying n = 2
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