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Simplifying -7n + 4(5 + -2n) = -100 -7n + (5 * 4 + -2n * 4) = -100 -7n + (20 + -8n) = -100 Reorder the terms: 20 + -7n + -8n = -100 Combine like terms: -7n + -8n = -15n 20 + -15n = -100 Solving 20 + -15n = -100 Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-20' to each side of the equation. 20 + -20 + -15n = -100 + -20 Combine like terms: 20 + -20 = 0 0 + -15n = -100 + -20 -15n = -100 + -20 Combine like terms: -100 + -20 = -120 -15n = -120 Divide each side by '-15'. n = 8 Simplifying n = 8
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