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Simplifying 3(n + 2) + -2 = 4(n + -4) + -4(n + -11) Reorder the terms: 3(2 + n) + -2 = 4(n + -4) + -4(n + -11) (2 * 3 + n * 3) + -2 = 4(n + -4) + -4(n + -11) (6 + 3n) + -2 = 4(n + -4) + -4(n + -11) Reorder the terms: 6 + -2 + 3n = 4(n + -4) + -4(n + -11) Combine like terms: 6 + -2 = 4 4 + 3n = 4(n + -4) + -4(n + -11) Reorder the terms: 4 + 3n = 4(-4 + n) + -4(n + -11) 4 + 3n = (-4 * 4 + n * 4) + -4(n + -11) 4 + 3n = (-16 + 4n) + -4(n + -11) Reorder the terms: 4 + 3n = -16 + 4n + -4(-11 + n) 4 + 3n = -16 + 4n + (-11 * -4 + n * -4) 4 + 3n = -16 + 4n + (44 + -4n) Reorder the terms: 4 + 3n = -16 + 44 + 4n + -4n Combine like terms: -16 + 44 = 28 4 + 3n = 28 + 4n + -4n Combine like terms: 4n + -4n = 0 4 + 3n = 28 + 0 4 + 3n = 28 Solving 4 + 3n = 28 Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-4' to each side of the equation. 4 + -4 + 3n = 28 + -4 Combine like terms: 4 + -4 = 0 0 + 3n = 28 + -4 3n = 28 + -4 Combine like terms: 28 + -4 = 24 3n = 24 Divide each side by '3'. n = 8 Simplifying n = 8
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