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Simplifying 12n + 4(n + 4) + -4(n + 1) = 0 Reorder the terms: 12n + 4(4 + n) + -4(n + 1) = 0 12n + (4 * 4 + n * 4) + -4(n + 1) = 0 12n + (16 + 4n) + -4(n + 1) = 0 Reorder the terms: 12n + 16 + 4n + -4(1 + n) = 0 12n + 16 + 4n + (1 * -4 + n * -4) = 0 12n + 16 + 4n + (-4 + -4n) = 0 Reorder the terms: 16 + -4 + 12n + 4n + -4n = 0 Combine like terms: 16 + -4 = 12 12 + 12n + 4n + -4n = 0 Combine like terms: 12n + 4n = 16n 12 + 16n + -4n = 0 Combine like terms: 16n + -4n = 12n 12 + 12n = 0 Solving 12 + 12n = 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 + 12n = 0 + -12 Combine like terms: 12 + -12 = 0 0 + 12n = 0 + -12 12n = 0 + -12 Combine like terms: 0 + -12 = -12 12n = -12 Divide each side by '12'. n = -1 Simplifying n = -1
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