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Simplifying 5(n + 6) = -5n Reorder the terms: 5(6 + n) = -5n (6 * 5 + n * 5) = -5n (30 + 5n) = -5n Solving 30 + 5n = -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. 30 + 5n + 5n = -5n + 5n Combine like terms: 5n + 5n = 10n 30 + 10n = -5n + 5n Combine like terms: -5n + 5n = 0 30 + 10n = 0 Add '-30' to each side of the equation. 30 + -30 + 10n = 0 + -30 Combine like terms: 30 + -30 = 0 0 + 10n = 0 + -30 10n = 0 + -30 Combine like terms: 0 + -30 = -30 10n = -30 Divide each side by '10'. n = -3 Simplifying n = -3
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