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Simplifying 6n + -27 = -45 + 8n Reorder the terms: -27 + 6n = -45 + 8n Solving -27 + 6n = -45 + 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. -27 + 6n + -8n = -45 + 8n + -8n Combine like terms: 6n + -8n = -2n -27 + -2n = -45 + 8n + -8n Combine like terms: 8n + -8n = 0 -27 + -2n = -45 + 0 -27 + -2n = -45 Add '27' to each side of the equation. -27 + 27 + -2n = -45 + 27 Combine like terms: -27 + 27 = 0 0 + -2n = -45 + 27 -2n = -45 + 27 Combine like terms: -45 + 27 = -18 -2n = -18 Divide each side by '-2'. n = 9 Simplifying n = 9
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