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Simplifying -5(n + -5) = -5(1 + 7n) Reorder the terms: -5(-5 + n) = -5(1 + 7n) (-5 * -5 + n * -5) = -5(1 + 7n) (25 + -5n) = -5(1 + 7n) 25 + -5n = (1 * -5 + 7n * -5) 25 + -5n = (-5 + -35n) Solving 25 + -5n = -5 + -35n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '35n' to each side of the equation. 25 + -5n + 35n = -5 + -35n + 35n Combine like terms: -5n + 35n = 30n 25 + 30n = -5 + -35n + 35n Combine like terms: -35n + 35n = 0 25 + 30n = -5 + 0 25 + 30n = -5 Add '-25' to each side of the equation. 25 + -25 + 30n = -5 + -25 Combine like terms: 25 + -25 = 0 0 + 30n = -5 + -25 30n = -5 + -25 Combine like terms: -5 + -25 = -30 30n = -30 Divide each side by '30'. n = -1 Simplifying n = -1
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