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Simplifying 7n + -1(2n + -5) = -5n + 30 Reorder the terms: 7n + -1(-5 + 2n) = -5n + 30 7n + (-5 * -1 + 2n * -1) = -5n + 30 7n + (5 + -2n) = -5n + 30 Reorder the terms: 5 + 7n + -2n = -5n + 30 Combine like terms: 7n + -2n = 5n 5 + 5n = -5n + 30 Reorder the terms: 5 + 5n = 30 + -5n Solving 5 + 5n = 30 + -5n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '5n' to each side of the equation. 5 + 5n + 5n = 30 + -5n + 5n Combine like terms: 5n + 5n = 10n 5 + 10n = 30 + -5n + 5n Combine like terms: -5n + 5n = 0 5 + 10n = 30 + 0 5 + 10n = 30 Add '-5' to each side of the equation. 5 + -5 + 10n = 30 + -5 Combine like terms: 5 + -5 = 0 0 + 10n = 30 + -5 10n = 30 + -5 Combine like terms: 30 + -5 = 25 10n = 25 Divide each side by '10'. n = 2.5 Simplifying n = 2.5
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