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Simplifying -4(n + -3) = 2(6 + -5n) + 12n Reorder the terms: -4(-3 + n) = 2(6 + -5n) + 12n (-3 * -4 + n * -4) = 2(6 + -5n) + 12n (12 + -4n) = 2(6 + -5n) + 12n 12 + -4n = (6 * 2 + -5n * 2) + 12n 12 + -4n = (12 + -10n) + 12n Combine like terms: -10n + 12n = 2n 12 + -4n = 12 + 2n Add '-12' to each side of the equation. 12 + -12 + -4n = 12 + -12 + 2n Combine like terms: 12 + -12 = 0 0 + -4n = 12 + -12 + 2n -4n = 12 + -12 + 2n Combine like terms: 12 + -12 = 0 -4n = 0 + 2n -4n = 2n Solving -4n = 2n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-2n' to each side of the equation. -4n + -2n = 2n + -2n Combine like terms: -4n + -2n = -6n -6n = 2n + -2n Combine like terms: 2n + -2n = 0 -6n = 0 Divide each side by '-6'. n = 0 Simplifying n = 0
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