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Simplifying 4(5n + 2) + 7n = -100 Reorder the terms: 4(2 + 5n) + 7n = -100 (2 * 4 + 5n * 4) + 7n = -100 (8 + 20n) + 7n = -100 Combine like terms: 20n + 7n = 27n 8 + 27n = -100 Solving 8 + 27n = -100 Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-8' to each side of the equation. 8 + -8 + 27n = -100 + -8 Combine like terms: 8 + -8 = 0 0 + 27n = -100 + -8 27n = -100 + -8 Combine like terms: -100 + -8 = -108 27n = -108 Divide each side by '27'. n = -4 Simplifying n = -4
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