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Simplifying 3(n + 4) + 2(n + -12) = 2n Reorder the terms: 3(4 + n) + 2(n + -12) = 2n (4 * 3 + n * 3) + 2(n + -12) = 2n (12 + 3n) + 2(n + -12) = 2n Reorder the terms: 12 + 3n + 2(-12 + n) = 2n 12 + 3n + (-12 * 2 + n * 2) = 2n 12 + 3n + (-24 + 2n) = 2n Reorder the terms: 12 + -24 + 3n + 2n = 2n Combine like terms: 12 + -24 = -12 -12 + 3n + 2n = 2n Combine like terms: 3n + 2n = 5n -12 + 5n = 2n Solving -12 + 5n = 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. -12 + 5n + -2n = 2n + -2n Combine like terms: 5n + -2n = 3n -12 + 3n = 2n + -2n Combine like terms: 2n + -2n = 0 -12 + 3n = 0 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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