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Simplifying 7(n + -2) + -1(3 + -4n) = 10n Reorder the terms: 7(-2 + n) + -1(3 + -4n) = 10n (-2 * 7 + n * 7) + -1(3 + -4n) = 10n (-14 + 7n) + -1(3 + -4n) = 10n -14 + 7n + (3 * -1 + -4n * -1) = 10n -14 + 7n + (-3 + 4n) = 10n Reorder the terms: -14 + -3 + 7n + 4n = 10n Combine like terms: -14 + -3 = -17 -17 + 7n + 4n = 10n Combine like terms: 7n + 4n = 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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