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Simplifying 4n + -5(4n + -4) = -22 + 5n Reorder the terms: 4n + -5(-4 + 4n) = -22 + 5n 4n + (-4 * -5 + 4n * -5) = -22 + 5n 4n + (20 + -20n) = -22 + 5n Reorder the terms: 20 + 4n + -20n = -22 + 5n Combine like terms: 4n + -20n = -16n 20 + -16n = -22 + 5n Solving 20 + -16n = -22 + 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. 20 + -16n + -5n = -22 + 5n + -5n Combine like terms: -16n + -5n = -21n 20 + -21n = -22 + 5n + -5n Combine like terms: 5n + -5n = 0 20 + -21n = -22 + 0 20 + -21n = -22 Add '-20' to each side of the equation. 20 + -20 + -21n = -22 + -20 Combine like terms: 20 + -20 = 0 0 + -21n = -22 + -20 -21n = -22 + -20 Combine like terms: -22 + -20 = -42 -21n = -42 Divide each side by '-21'. n = 2 Simplifying n = 2
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