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Simplifying -5 + -8(-3n + 6) = 8n + 27 Reorder the terms: -5 + -8(6 + -3n) = 8n + 27 -5 + (6 * -8 + -3n * -8) = 8n + 27 -5 + (-48 + 24n) = 8n + 27 Combine like terms: -5 + -48 = -53 -53 + 24n = 8n + 27 Reorder the terms: -53 + 24n = 27 + 8n Solving -53 + 24n = 27 + 8n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-8n' to each side of the equation. -53 + 24n + -8n = 27 + 8n + -8n Combine like terms: 24n + -8n = 16n -53 + 16n = 27 + 8n + -8n Combine like terms: 8n + -8n = 0 -53 + 16n = 27 + 0 -53 + 16n = 27 Add '53' to each side of the equation. -53 + 53 + 16n = 27 + 53 Combine like terms: -53 + 53 = 0 0 + 16n = 27 + 53 16n = 27 + 53 Combine like terms: 27 + 53 = 80 16n = 80 Divide each side by '16'. n = 5 Simplifying n = 5
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