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Simplifying 6(12n + 9) = 4(n + -2) + 6n Reorder the terms: 6(9 + 12n) = 4(n + -2) + 6n (9 * 6 + 12n * 6) = 4(n + -2) + 6n (54 + 72n) = 4(n + -2) + 6n Reorder the terms: 54 + 72n = 4(-2 + n) + 6n 54 + 72n = (-2 * 4 + n * 4) + 6n 54 + 72n = (-8 + 4n) + 6n Combine like terms: 4n + 6n = 10n 54 + 72n = -8 + 10n Solving 54 + 72n = -8 + 10n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-10n' to each side of the equation. 54 + 72n + -10n = -8 + 10n + -10n Combine like terms: 72n + -10n = 62n 54 + 62n = -8 + 10n + -10n Combine like terms: 10n + -10n = 0 54 + 62n = -8 + 0 54 + 62n = -8 Add '-54' to each side of the equation. 54 + -54 + 62n = -8 + -54 Combine like terms: 54 + -54 = 0 0 + 62n = -8 + -54 62n = -8 + -54 Combine like terms: -8 + -54 = -62 62n = -62 Divide each side by '62'. n = -1 Simplifying n = -1
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