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Simplifying 7(11 + -3n) + -4(1 + -8n) = 6n + 2 + -9 (11 * 7 + -3n * 7) + -4(1 + -8n) = 6n + 2 + -9 (77 + -21n) + -4(1 + -8n) = 6n + 2 + -9 77 + -21n + (1 * -4 + -8n * -4) = 6n + 2 + -9 77 + -21n + (-4 + 32n) = 6n + 2 + -9 Reorder the terms: 77 + -4 + -21n + 32n = 6n + 2 + -9 Combine like terms: 77 + -4 = 73 73 + -21n + 32n = 6n + 2 + -9 Combine like terms: -21n + 32n = 11n 73 + 11n = 6n + 2 + -9 Reorder the terms: 73 + 11n = 2 + -9 + 6n Combine like terms: 2 + -9 = -7 73 + 11n = -7 + 6n Solving 73 + 11n = -7 + 6n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-6n' to each side of the equation. 73 + 11n + -6n = -7 + 6n + -6n Combine like terms: 11n + -6n = 5n 73 + 5n = -7 + 6n + -6n Combine like terms: 6n + -6n = 0 73 + 5n = -7 + 0 73 + 5n = -7 Add '-73' to each side of the equation. 73 + -73 + 5n = -7 + -73 Combine like terms: 73 + -73 = 0 0 + 5n = -7 + -73 5n = -7 + -73 Combine like terms: -7 + -73 = -80 5n = -80 Divide each side by '5'. n = -16 Simplifying n = -16
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