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Simplifying -5(-4 + 7n) + -5 = -265 (-4 * -5 + 7n * -5) + -5 = -265 (20 + -35n) + -5 = -265 Reorder the terms: 20 + -5 + -35n = -265 Combine like terms: 20 + -5 = 15 15 + -35n = -265 Solving 15 + -35n = -265 Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-15' to each side of the equation. 15 + -15 + -35n = -265 + -15 Combine like terms: 15 + -15 = 0 0 + -35n = -265 + -15 -35n = -265 + -15 Combine like terms: -265 + -15 = -280 -35n = -280 Divide each side by '-35'. n = 8 Simplifying n = 8
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