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Simplifying 100 = (5n + 4) + -8n Reorder the terms: 100 = (4 + 5n) + -8n Remove parenthesis around (4 + 5n) 100 = 4 + 5n + -8n Combine like terms: 5n + -8n = -3n 100 = 4 + -3n Solving 100 = 4 + -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. 100 + 3n = 4 + -3n + 3n Combine like terms: -3n + 3n = 0 100 + 3n = 4 + 0 100 + 3n = 4 Add '-100' to each side of the equation. 100 + -100 + 3n = 4 + -100 Combine like terms: 100 + -100 = 0 0 + 3n = 4 + -100 3n = 4 + -100 Combine like terms: 4 + -100 = -96 3n = -96 Divide each side by '3'. n = -32 Simplifying n = -32
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