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Simplifying -8(n + 4) + 35 = -5n + -15 Reorder the terms: -8(4 + n) + 35 = -5n + -15 (4 * -8 + n * -8) + 35 = -5n + -15 (-32 + -8n) + 35 = -5n + -15 Reorder the terms: -32 + 35 + -8n = -5n + -15 Combine like terms: -32 + 35 = 3 3 + -8n = -5n + -15 Reorder the terms: 3 + -8n = -15 + -5n Solving 3 + -8n = -15 + -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. 3 + -8n + 5n = -15 + -5n + 5n Combine like terms: -8n + 5n = -3n 3 + -3n = -15 + -5n + 5n Combine like terms: -5n + 5n = 0 3 + -3n = -15 + 0 3 + -3n = -15 Add '-3' to each side of the equation. 3 + -3 + -3n = -15 + -3 Combine like terms: 3 + -3 = 0 0 + -3n = -15 + -3 -3n = -15 + -3 Combine like terms: -15 + -3 = -18 -3n = -18 Divide each side by '-3'. n = 6 Simplifying n = 6
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