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Simplifying -7(n + 2) + -1(1 + 3n) = -11n Reorder the terms: -7(2 + n) + -1(1 + 3n) = -11n (2 * -7 + n * -7) + -1(1 + 3n) = -11n (-14 + -7n) + -1(1 + 3n) = -11n -14 + -7n + (1 * -1 + 3n * -1) = -11n -14 + -7n + (-1 + -3n) = -11n Reorder the terms: -14 + -1 + -7n + -3n = -11n Combine like terms: -14 + -1 = -15 -15 + -7n + -3n = -11n Combine like terms: -7n + -3n = -10n -15 + -10n = -11n Solving -15 + -10n = -11n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '11n' to each side of the equation. -15 + -10n + 11n = -11n + 11n Combine like terms: -10n + 11n = 1n -15 + 1n = -11n + 11n Combine like terms: -11n + 11n = 0 -15 + 1n = 0 Add '15' to each side of the equation. -15 + 15 + 1n = 0 + 15 Combine like terms: -15 + 15 = 0 0 + 1n = 0 + 15 1n = 0 + 15 Combine like terms: 0 + 15 = 15 1n = 15 Divide each side by '1'. n = 15 Simplifying n = 15
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