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Simplifying -5(n + 1) + -1(-8n + -8) = -1n + 7n Reorder the terms: -5(1 + n) + -1(-8n + -8) = -1n + 7n (1 * -5 + n * -5) + -1(-8n + -8) = -1n + 7n (-5 + -5n) + -1(-8n + -8) = -1n + 7n Reorder the terms: -5 + -5n + -1(-8 + -8n) = -1n + 7n -5 + -5n + (-8 * -1 + -8n * -1) = -1n + 7n -5 + -5n + (8 + 8n) = -1n + 7n Reorder the terms: -5 + 8 + -5n + 8n = -1n + 7n Combine like terms: -5 + 8 = 3 3 + -5n + 8n = -1n + 7n Combine like terms: -5n + 8n = 3n 3 + 3n = -1n + 7n Combine like terms: -1n + 7n = 6n 3 + 3n = 6n Solving 3 + 3n = 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. 3 + 3n + -6n = 6n + -6n Combine like terms: 3n + -6n = -3n 3 + -3n = 6n + -6n Combine like terms: 6n + -6n = 0 3 + -3n = 0 Add '-3' to each side of the equation. 3 + -3 + -3n = 0 + -3 Combine like terms: 3 + -3 = 0 0 + -3n = 0 + -3 -3n = 0 + -3 Combine like terms: 0 + -3 = -3 -3n = -3 Divide each side by '-3'. n = 1 Simplifying n = 1
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