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Simplifying 3(1 + 4n) + -4(3 + -6x) = 2 (1 * 3 + 4n * 3) + -4(3 + -6x) = 2 (3 + 12n) + -4(3 + -6x) = 2 3 + 12n + (3 * -4 + -6x * -4) = 2 3 + 12n + (-12 + 24x) = 2 Reorder the terms: 3 + -12 + 12n + 24x = 2 Combine like terms: 3 + -12 = -9 -9 + 12n + 24x = 2 Solving -9 + 12n + 24x = 2 Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '9' to each side of the equation. -9 + 12n + 9 + 24x = 2 + 9 Reorder the terms: -9 + 9 + 12n + 24x = 2 + 9 Combine like terms: -9 + 9 = 0 0 + 12n + 24x = 2 + 9 12n + 24x = 2 + 9 Combine like terms: 2 + 9 = 11 12n + 24x = 11 Add '-24x' to each side of the equation. 12n + 24x + -24x = 11 + -24x Combine like terms: 24x + -24x = 0 12n + 0 = 11 + -24x 12n = 11 + -24x Divide each side by '12'. n = 0.9166666667 + -2x Simplifying n = 0.9166666667 + -2x
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