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Simplifying 6(4n + 3) + -12(5n + 6) = -3n + -6n Reorder the terms: 6(3 + 4n) + -12(5n + 6) = -3n + -6n (3 * 6 + 4n * 6) + -12(5n + 6) = -3n + -6n (18 + 24n) + -12(5n + 6) = -3n + -6n Reorder the terms: 18 + 24n + -12(6 + 5n) = -3n + -6n 18 + 24n + (6 * -12 + 5n * -12) = -3n + -6n 18 + 24n + (-72 + -60n) = -3n + -6n Reorder the terms: 18 + -72 + 24n + -60n = -3n + -6n Combine like terms: 18 + -72 = -54 -54 + 24n + -60n = -3n + -6n Combine like terms: 24n + -60n = -36n -54 + -36n = -3n + -6n Combine like terms: -3n + -6n = -9n -54 + -36n = -9n Solving -54 + -36n = -9n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '9n' to each side of the equation. -54 + -36n + 9n = -9n + 9n Combine like terms: -36n + 9n = -27n -54 + -27n = -9n + 9n Combine like terms: -9n + 9n = 0 -54 + -27n = 0 Add '54' to each side of the equation. -54 + 54 + -27n = 0 + 54 Combine like terms: -54 + 54 = 0 0 + -27n = 0 + 54 -27n = 0 + 54 Combine like terms: 0 + 54 = 54 -27n = 54 Divide each side by '-27'. n = -2 Simplifying n = -2
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