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Simplifying 4(3 + -2n) + -1n = -11(n + -1) (3 * 4 + -2n * 4) + -1n = -11(n + -1) (12 + -8n) + -1n = -11(n + -1) Combine like terms: -8n + -1n = -9n 12 + -9n = -11(n + -1) Reorder the terms: 12 + -9n = -11(-1 + n) 12 + -9n = (-1 * -11 + n * -11) 12 + -9n = (11 + -11n) Solving 12 + -9n = 11 + -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. 12 + -9n + 11n = 11 + -11n + 11n Combine like terms: -9n + 11n = 2n 12 + 2n = 11 + -11n + 11n Combine like terms: -11n + 11n = 0 12 + 2n = 11 + 0 12 + 2n = 11 Add '-12' to each side of the equation. 12 + -12 + 2n = 11 + -12 Combine like terms: 12 + -12 = 0 0 + 2n = 11 + -12 2n = 11 + -12 Combine like terms: 11 + -12 = -1 2n = -1 Divide each side by '2'. n = -0.5 Simplifying n = -0.5
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