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Simplifying 6(n + 2) + -1(7 + -5n) = 10n Reorder the terms: 6(2 + n) + -1(7 + -5n) = 10n (2 * 6 + n * 6) + -1(7 + -5n) = 10n (12 + 6n) + -1(7 + -5n) = 10n 12 + 6n + (7 * -1 + -5n * -1) = 10n 12 + 6n + (-7 + 5n) = 10n Reorder the terms: 12 + -7 + 6n + 5n = 10n Combine like terms: 12 + -7 = 5 5 + 6n + 5n = 10n Combine like terms: 6n + 5n = 11n 5 + 11n = 10n Solving 5 + 11n = 10n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-10n' to each side of the equation. 5 + 11n + -10n = 10n + -10n Combine like terms: 11n + -10n = 1n 5 + 1n = 10n + -10n Combine like terms: 10n + -10n = 0 5 + 1n = 0 Add '-5' to each side of the equation. 5 + -5 + 1n = 0 + -5 Combine like terms: 5 + -5 = 0 0 + 1n = 0 + -5 1n = 0 + -5 Combine like terms: 0 + -5 = -5 1n = -5 Divide each side by '1'. n = -5 Simplifying n = -5
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