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Simplifying -8(n + 3) + 27 = -5n + -6 Reorder the terms: -8(3 + n) + 27 = -5n + -6 (3 * -8 + n * -8) + 27 = -5n + -6 (-24 + -8n) + 27 = -5n + -6 Reorder the terms: -24 + 27 + -8n = -5n + -6 Combine like terms: -24 + 27 = 3 3 + -8n = -5n + -6 Reorder the terms: 3 + -8n = -6 + -5n Solving 3 + -8n = -6 + -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 = -6 + -5n + 5n Combine like terms: -8n + 5n = -3n 3 + -3n = -6 + -5n + 5n Combine like terms: -5n + 5n = 0 3 + -3n = -6 + 0 3 + -3n = -6 Add '-3' to each side of the equation. 3 + -3 + -3n = -6 + -3 Combine like terms: 3 + -3 = 0 0 + -3n = -6 + -3 -3n = -6 + -3 Combine like terms: -6 + -3 = -9 -3n = -9 Divide each side by '-3'. n = 3 Simplifying n = 3
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