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Simplifying 4n + 6 = -74 + -6n Reorder the terms: 6 + 4n = -74 + -6n Solving 6 + 4n = -74 + -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. 6 + 4n + 6n = -74 + -6n + 6n Combine like terms: 4n + 6n = 10n 6 + 10n = -74 + -6n + 6n Combine like terms: -6n + 6n = 0 6 + 10n = -74 + 0 6 + 10n = -74 Add '-6' to each side of the equation. 6 + -6 + 10n = -74 + -6 Combine like terms: 6 + -6 = 0 0 + 10n = -74 + -6 10n = -74 + -6 Combine like terms: -74 + -6 = -80 10n = -80 Divide each side by '10'. n = -8 Simplifying n = -8
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