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Simplifying (1 + -7n) * 5 = 75 Reorder the terms for easier multiplication: 5(1 + -7n) = 75 (1 * 5 + -7n * 5) = 75 (5 + -35n) = 75 Solving 5 + -35n = 75 Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-5' to each side of the equation. 5 + -5 + -35n = 75 + -5 Combine like terms: 5 + -5 = 0 0 + -35n = 75 + -5 -35n = 75 + -5 Combine like terms: 75 + -5 = 70 -35n = 70 Divide each side by '-35'. n = -2 Simplifying n = -2
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