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Simplifying 5(n + -2) + -1(7 + -6n) = 10n Reorder the terms: 5(-2 + n) + -1(7 + -6n) = 10n (-2 * 5 + n * 5) + -1(7 + -6n) = 10n (-10 + 5n) + -1(7 + -6n) = 10n -10 + 5n + (7 * -1 + -6n * -1) = 10n -10 + 5n + (-7 + 6n) = 10n Reorder the terms: -10 + -7 + 5n + 6n = 10n Combine like terms: -10 + -7 = -17 -17 + 5n + 6n = 10n Combine like terms: 5n + 6n = 11n -17 + 11n = 10n Solving -17 + 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. -17 + 11n + -10n = 10n + -10n Combine like terms: 11n + -10n = 1n -17 + 1n = 10n + -10n Combine like terms: 10n + -10n = 0 -17 + 1n = 0 Add '17' to each side of the equation. -17 + 17 + 1n = 0 + 17 Combine like terms: -17 + 17 = 0 0 + 1n = 0 + 17 1n = 0 + 17 Combine like terms: 0 + 17 = 17 1n = 17 Divide each side by '1'. n = 17 Simplifying n = 17
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