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Simplifying 4n + -27 = 3(7n + 5) + 4n Reorder the terms: -27 + 4n = 3(7n + 5) + 4n Reorder the terms: -27 + 4n = 3(5 + 7n) + 4n -27 + 4n = (5 * 3 + 7n * 3) + 4n -27 + 4n = (15 + 21n) + 4n Combine like terms: 21n + 4n = 25n -27 + 4n = 15 + 25n Solving -27 + 4n = 15 + 25n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-25n' to each side of the equation. -27 + 4n + -25n = 15 + 25n + -25n Combine like terms: 4n + -25n = -21n -27 + -21n = 15 + 25n + -25n Combine like terms: 25n + -25n = 0 -27 + -21n = 15 + 0 -27 + -21n = 15 Add '27' to each side of the equation. -27 + 27 + -21n = 15 + 27 Combine like terms: -27 + 27 = 0 0 + -21n = 15 + 27 -21n = 15 + 27 Combine like terms: 15 + 27 = 42 -21n = 42 Divide each side by '-21'. n = -2 Simplifying n = -2
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