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Simplifying 4n + 27 = -5n + 3(n + -7) Reorder the terms: 27 + 4n = -5n + 3(n + -7) Reorder the terms: 27 + 4n = -5n + 3(-7 + n) 27 + 4n = -5n + (-7 * 3 + n * 3) 27 + 4n = -5n + (-21 + 3n) Reorder the terms: 27 + 4n = -21 + -5n + 3n Combine like terms: -5n + 3n = -2n 27 + 4n = -21 + -2n Solving 27 + 4n = -21 + -2n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '2n' to each side of the equation. 27 + 4n + 2n = -21 + -2n + 2n Combine like terms: 4n + 2n = 6n 27 + 6n = -21 + -2n + 2n Combine like terms: -2n + 2n = 0 27 + 6n = -21 + 0 27 + 6n = -21 Add '-27' to each side of the equation. 27 + -27 + 6n = -21 + -27 Combine like terms: 27 + -27 = 0 0 + 6n = -21 + -27 6n = -21 + -27 Combine like terms: -21 + -27 = -48 6n = -48 Divide each side by '6'. n = -8 Simplifying n = -8
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