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Simplifying -4(-8 + 3n) + 3(7n + 6) = 3n + -5 + -5n (-8 * -4 + 3n * -4) + 3(7n + 6) = 3n + -5 + -5n (32 + -12n) + 3(7n + 6) = 3n + -5 + -5n Reorder the terms: 32 + -12n + 3(6 + 7n) = 3n + -5 + -5n 32 + -12n + (6 * 3 + 7n * 3) = 3n + -5 + -5n 32 + -12n + (18 + 21n) = 3n + -5 + -5n Reorder the terms: 32 + 18 + -12n + 21n = 3n + -5 + -5n Combine like terms: 32 + 18 = 50 50 + -12n + 21n = 3n + -5 + -5n Combine like terms: -12n + 21n = 9n 50 + 9n = 3n + -5 + -5n Reorder the terms: 50 + 9n = -5 + 3n + -5n Combine like terms: 3n + -5n = -2n 50 + 9n = -5 + -2n Solving 50 + 9n = -5 + -2n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '2n' to each side of the equation. 50 + 9n + 2n = -5 + -2n + 2n Combine like terms: 9n + 2n = 11n 50 + 11n = -5 + -2n + 2n Combine like terms: -2n + 2n = 0 50 + 11n = -5 + 0 50 + 11n = -5 Add '-50' to each side of the equation. 50 + -50 + 11n = -5 + -50 Combine like terms: 50 + -50 = 0 0 + 11n = -5 + -50 11n = -5 + -50 Combine like terms: -5 + -50 = -55 11n = -55 Divide each side by '11'. n = -5 Simplifying n = -5
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