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Simplifying 6n + 12 = -1(8 + 4n) Reorder the terms: 12 + 6n = -1(8 + 4n) 12 + 6n = (8 * -1 + 4n * -1) 12 + 6n = (-8 + -4n) Solving 12 + 6n = -8 + -4n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '4n' to each side of the equation. 12 + 6n + 4n = -8 + -4n + 4n Combine like terms: 6n + 4n = 10n 12 + 10n = -8 + -4n + 4n Combine like terms: -4n + 4n = 0 12 + 10n = -8 + 0 12 + 10n = -8 Add '-12' to each side of the equation. 12 + -12 + 10n = -8 + -12 Combine like terms: 12 + -12 = 0 0 + 10n = -8 + -12 10n = -8 + -12 Combine like terms: -8 + -12 = -20 10n = -20 Divide each side by '10'. n = -2 Simplifying n = -2
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