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Simplifying 22 + -4n = 6(-5n + -5) Reorder the terms: 22 + -4n = 6(-5 + -5n) 22 + -4n = (-5 * 6 + -5n * 6) 22 + -4n = (-30 + -30n) Solving 22 + -4n = -30 + -30n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '30n' to each side of the equation. 22 + -4n + 30n = -30 + -30n + 30n Combine like terms: -4n + 30n = 26n 22 + 26n = -30 + -30n + 30n Combine like terms: -30n + 30n = 0 22 + 26n = -30 + 0 22 + 26n = -30 Add '-22' to each side of the equation. 22 + -22 + 26n = -30 + -22 Combine like terms: 22 + -22 = 0 0 + 26n = -30 + -22 26n = -30 + -22 Combine like terms: -30 + -22 = -52 26n = -52 Divide each side by '26'. n = -2 Simplifying n = -2
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