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Simplifying -8(n + 4) + 33 = -5n + -17 Reorder the terms: -8(4 + n) + 33 = -5n + -17 (4 * -8 + n * -8) + 33 = -5n + -17 (-32 + -8n) + 33 = -5n + -17 Reorder the terms: -32 + 33 + -8n = -5n + -17 Combine like terms: -32 + 33 = 1 1 + -8n = -5n + -17 Reorder the terms: 1 + -8n = -17 + -5n Solving 1 + -8n = -17 + -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. 1 + -8n + 5n = -17 + -5n + 5n Combine like terms: -8n + 5n = -3n 1 + -3n = -17 + -5n + 5n Combine like terms: -5n + 5n = 0 1 + -3n = -17 + 0 1 + -3n = -17 Add '-1' to each side of the equation. 1 + -1 + -3n = -17 + -1 Combine like terms: 1 + -1 = 0 0 + -3n = -17 + -1 -3n = -17 + -1 Combine like terms: -17 + -1 = -18 -3n = -18 Divide each side by '-3'. n = 6 Simplifying n = 6
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