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Simplifying -5 + 5[n + 5] = -5n + -30 Reorder the terms: -5 + 5[5 + n] = -5n + -30 -5 + [5 * 5 + n * 5] = -5n + -30 -5 + [25 + 5n] = -5n + -30 Combine like terms: -5 + 25 = 20 20 + 5n = -5n + -30 Reorder the terms: 20 + 5n = -30 + -5n Solving 20 + 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. 20 + 5n + 5n = -30 + -5n + 5n Combine like terms: 5n + 5n = 10n 20 + 10n = -30 + -5n + 5n Combine like terms: -5n + 5n = 0 20 + 10n = -30 + 0 20 + 10n = -30 Add '-20' to each side of the equation. 20 + -20 + 10n = -30 + -20 Combine like terms: 20 + -20 = 0 0 + 10n = -30 + -20 10n = -30 + -20 Combine like terms: -30 + -20 = -50 10n = -50 Divide each side by '10'. n = -5 Simplifying n = -5
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