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Simplifying 22 + -5n = 7(3n + -8) Reorder the terms: 22 + -5n = 7(-8 + 3n) 22 + -5n = (-8 * 7 + 3n * 7) 22 + -5n = (-56 + 21n) Solving 22 + -5n = -56 + 21n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-21n' to each side of the equation. 22 + -5n + -21n = -56 + 21n + -21n Combine like terms: -5n + -21n = -26n 22 + -26n = -56 + 21n + -21n Combine like terms: 21n + -21n = 0 22 + -26n = -56 + 0 22 + -26n = -56 Add '-22' to each side of the equation. 22 + -22 + -26n = -56 + -22 Combine like terms: 22 + -22 = 0 0 + -26n = -56 + -22 -26n = -56 + -22 Combine like terms: -56 + -22 = -78 -26n = -78 Divide each side by '-26'. n = 3 Simplifying n = 3
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