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Simplifying 3[2n + -4(n + 1)] = 6n + -12 Reorder the terms: 3[2n + -4(1 + n)] = 6n + -12 3[2n + (1 * -4 + n * -4)] = 6n + -12 3[2n + (-4 + -4n)] = 6n + -12 Reorder the terms: 3[-4 + 2n + -4n] = 6n + -12 Combine like terms: 2n + -4n = -2n 3[-4 + -2n] = 6n + -12 [-4 * 3 + -2n * 3] = 6n + -12 [-12 + -6n] = 6n + -12 Reorder the terms: -12 + -6n = -12 + 6n Add '12' to each side of the equation. -12 + 12 + -6n = -12 + 12 + 6n Combine like terms: -12 + 12 = 0 0 + -6n = -12 + 12 + 6n -6n = -12 + 12 + 6n Combine like terms: -12 + 12 = 0 -6n = 0 + 6n -6n = 6n Solving -6n = 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. -6n + -6n = 6n + -6n Combine like terms: -6n + -6n = -12n -12n = 6n + -6n Combine like terms: 6n + -6n = 0 -12n = 0 Divide each side by '-12'. n = 0 Simplifying n = 0
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