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Simplifying -8(n + 4) + 35 = -4n + -5 Reorder the terms: -8(4 + n) + 35 = -4n + -5 (4 * -8 + n * -8) + 35 = -4n + -5 (-32 + -8n) + 35 = -4n + -5 Reorder the terms: -32 + 35 + -8n = -4n + -5 Combine like terms: -32 + 35 = 3 3 + -8n = -4n + -5 Reorder the terms: 3 + -8n = -5 + -4n Solving 3 + -8n = -5 + -4n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '4n' to each side of the equation. 3 + -8n + 4n = -5 + -4n + 4n Combine like terms: -8n + 4n = -4n 3 + -4n = -5 + -4n + 4n Combine like terms: -4n + 4n = 0 3 + -4n = -5 + 0 3 + -4n = -5 Add '-3' to each side of the equation. 3 + -3 + -4n = -5 + -3 Combine like terms: 3 + -3 = 0 0 + -4n = -5 + -3 -4n = -5 + -3 Combine like terms: -5 + -3 = -8 -4n = -8 Divide each side by '-4'. n = 2 Simplifying n = 2
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