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Simplifying 27 + 4n = -5 + -6(n + 8) Reorder the terms: 27 + 4n = -5 + -6(8 + n) 27 + 4n = -5 + (8 * -6 + n * -6) 27 + 4n = -5 + (-48 + -6n) Combine like terms: -5 + -48 = -53 27 + 4n = -53 + -6n Solving 27 + 4n = -53 + -6n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '6n' to each side of the equation. 27 + 4n + 6n = -53 + -6n + 6n Combine like terms: 4n + 6n = 10n 27 + 10n = -53 + -6n + 6n Combine like terms: -6n + 6n = 0 27 + 10n = -53 + 0 27 + 10n = -53 Add '-27' to each side of the equation. 27 + -27 + 10n = -53 + -27 Combine like terms: 27 + -27 = 0 0 + 10n = -53 + -27 10n = -53 + -27 Combine like terms: -53 + -27 = -80 10n = -80 Divide each side by '10'. n = -8 Simplifying n = -8
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