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Simplifying 2(3n + -4) + -1(3n + 4) = 0 Reorder the terms: 2(-4 + 3n) + -1(3n + 4) = 0 (-4 * 2 + 3n * 2) + -1(3n + 4) = 0 (-8 + 6n) + -1(3n + 4) = 0 Reorder the terms: -8 + 6n + -1(4 + 3n) = 0 -8 + 6n + (4 * -1 + 3n * -1) = 0 -8 + 6n + (-4 + -3n) = 0 Reorder the terms: -8 + -4 + 6n + -3n = 0 Combine like terms: -8 + -4 = -12 -12 + 6n + -3n = 0 Combine like terms: 6n + -3n = 3n -12 + 3n = 0 Solving -12 + 3n = 0 Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '12' to each side of the equation. -12 + 12 + 3n = 0 + 12 Combine like terms: -12 + 12 = 0 0 + 3n = 0 + 12 3n = 0 + 12 Combine like terms: 0 + 12 = 12 3n = 12 Divide each side by '3'. n = 4 Simplifying n = 4
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