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Simplifying 10(n + 1) = 5(n + -10) Reorder the terms: 10(1 + n) = 5(n + -10) (1 * 10 + n * 10) = 5(n + -10) (10 + 10n) = 5(n + -10) Reorder the terms: 10 + 10n = 5(-10 + n) 10 + 10n = (-10 * 5 + n * 5) 10 + 10n = (-50 + 5n) Solving 10 + 10n = -50 + 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. 10 + 10n + -5n = -50 + 5n + -5n Combine like terms: 10n + -5n = 5n 10 + 5n = -50 + 5n + -5n Combine like terms: 5n + -5n = 0 10 + 5n = -50 + 0 10 + 5n = -50 Add '-10' to each side of the equation. 10 + -10 + 5n = -50 + -10 Combine like terms: 10 + -10 = 0 0 + 5n = -50 + -10 5n = -50 + -10 Combine like terms: -50 + -10 = -60 5n = -60 Divide each side by '5'. n = -12 Simplifying n = -12
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