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Simplifying -34 + -3n = 4(-5n + 4) + -8n Reorder the terms: -34 + -3n = 4(4 + -5n) + -8n -34 + -3n = (4 * 4 + -5n * 4) + -8n -34 + -3n = (16 + -20n) + -8n Combine like terms: -20n + -8n = -28n -34 + -3n = 16 + -28n Solving -34 + -3n = 16 + -28n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '28n' to each side of the equation. -34 + -3n + 28n = 16 + -28n + 28n Combine like terms: -3n + 28n = 25n -34 + 25n = 16 + -28n + 28n Combine like terms: -28n + 28n = 0 -34 + 25n = 16 + 0 -34 + 25n = 16 Add '34' to each side of the equation. -34 + 34 + 25n = 16 + 34 Combine like terms: -34 + 34 = 0 0 + 25n = 16 + 34 25n = 16 + 34 Combine like terms: 16 + 34 = 50 25n = 50 Divide each side by '25'. n = 2 Simplifying n = 2
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