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Simplifying -3(n + 7) + -1(4 + 7n) = 11n Reorder the terms: -3(7 + n) + -1(4 + 7n) = 11n (7 * -3 + n * -3) + -1(4 + 7n) = 11n (-21 + -3n) + -1(4 + 7n) = 11n -21 + -3n + (4 * -1 + 7n * -1) = 11n -21 + -3n + (-4 + -7n) = 11n Reorder the terms: -21 + -4 + -3n + -7n = 11n Combine like terms: -21 + -4 = -25 -25 + -3n + -7n = 11n Combine like terms: -3n + -7n = -10n -25 + -10n = 11n Solving -25 + -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. -25 + -10n + -11n = 11n + -11n Combine like terms: -10n + -11n = -21n -25 + -21n = 11n + -11n Combine like terms: 11n + -11n = 0 -25 + -21n = 0 Add '25' to each side of the equation. -25 + 25 + -21n = 0 + 25 Combine like terms: -25 + 25 = 0 0 + -21n = 0 + 25 -21n = 0 + 25 Combine like terms: 0 + 25 = 25 -21n = 25 Divide each side by '-21'. n = -1.19047619 Simplifying n = -1.19047619
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