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Simplifying 4(1 + -11n) + 6 = -1n + 2(8n + 5) (1 * 4 + -11n * 4) + 6 = -1n + 2(8n + 5) (4 + -44n) + 6 = -1n + 2(8n + 5) Reorder the terms: 4 + 6 + -44n = -1n + 2(8n + 5) Combine like terms: 4 + 6 = 10 10 + -44n = -1n + 2(8n + 5) Reorder the terms: 10 + -44n = -1n + 2(5 + 8n) 10 + -44n = -1n + (5 * 2 + 8n * 2) 10 + -44n = -1n + (10 + 16n) Reorder the terms: 10 + -44n = 10 + -1n + 16n Combine like terms: -1n + 16n = 15n 10 + -44n = 10 + 15n Add '-10' to each side of the equation. 10 + -10 + -44n = 10 + -10 + 15n Combine like terms: 10 + -10 = 0 0 + -44n = 10 + -10 + 15n -44n = 10 + -10 + 15n Combine like terms: 10 + -10 = 0 -44n = 0 + 15n -44n = 15n Solving -44n = 15n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-15n' to each side of the equation. -44n + -15n = 15n + -15n Combine like terms: -44n + -15n = -59n -59n = 15n + -15n Combine like terms: 15n + -15n = 0 -59n = 0 Divide each side by '-59'. n = 0 Simplifying n = 0
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