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Simplifying 61 = -4(1 + -2n) + 3(n + 7) 61 = (1 * -4 + -2n * -4) + 3(n + 7) 61 = (-4 + 8n) + 3(n + 7) Reorder the terms: 61 = -4 + 8n + 3(7 + n) 61 = -4 + 8n + (7 * 3 + n * 3) 61 = -4 + 8n + (21 + 3n) Reorder the terms: 61 = -4 + 21 + 8n + 3n Combine like terms: -4 + 21 = 17 61 = 17 + 8n + 3n Combine like terms: 8n + 3n = 11n 61 = 17 + 11n Solving 61 = 17 + 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. 61 + -11n = 17 + 11n + -11n Combine like terms: 11n + -11n = 0 61 + -11n = 17 + 0 61 + -11n = 17 Add '-61' to each side of the equation. 61 + -61 + -11n = 17 + -61 Combine like terms: 61 + -61 = 0 0 + -11n = 17 + -61 -11n = 17 + -61 Combine like terms: 17 + -61 = -44 -11n = -44 Divide each side by '-11'. n = 4 Simplifying n = 4
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