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Simplifying 27 + 8n = n + -4(-2 + 3n) 27 + 8n = n + (-2 * -4 + 3n * -4) 27 + 8n = n + (8 + -12n) Reorder the terms: 27 + 8n = 8 + n + -12n Combine like terms: n + -12n = -11n 27 + 8n = 8 + -11n Solving 27 + 8n = 8 + -11n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '11n' to each side of the equation. 27 + 8n + 11n = 8 + -11n + 11n Combine like terms: 8n + 11n = 19n 27 + 19n = 8 + -11n + 11n Combine like terms: -11n + 11n = 0 27 + 19n = 8 + 0 27 + 19n = 8 Add '-27' to each side of the equation. 27 + -27 + 19n = 8 + -27 Combine like terms: 27 + -27 = 0 0 + 19n = 8 + -27 19n = 8 + -27 Combine like terms: 8 + -27 = -19 19n = -19 Divide each side by '19'. n = -1 Simplifying n = -1
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