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Simplifying -7(n + -8) + -4n = -4 + -5(n + 6) Reorder the terms: -7(-8 + n) + -4n = -4 + -5(n + 6) (-8 * -7 + n * -7) + -4n = -4 + -5(n + 6) (56 + -7n) + -4n = -4 + -5(n + 6) Combine like terms: -7n + -4n = -11n 56 + -11n = -4 + -5(n + 6) Reorder the terms: 56 + -11n = -4 + -5(6 + n) 56 + -11n = -4 + (6 * -5 + n * -5) 56 + -11n = -4 + (-30 + -5n) Combine like terms: -4 + -30 = -34 56 + -11n = -34 + -5n Solving 56 + -11n = -34 + -5n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '5n' to each side of the equation. 56 + -11n + 5n = -34 + -5n + 5n Combine like terms: -11n + 5n = -6n 56 + -6n = -34 + -5n + 5n Combine like terms: -5n + 5n = 0 56 + -6n = -34 + 0 56 + -6n = -34 Add '-56' to each side of the equation. 56 + -56 + -6n = -34 + -56 Combine like terms: 56 + -56 = 0 0 + -6n = -34 + -56 -6n = -34 + -56 Combine like terms: -34 + -56 = -90 -6n = -90 Divide each side by '-6'. n = 15 Simplifying n = 15
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