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Simplifying 3(n + 4) + -8 = 11 + -1(6 + -2n) Reorder the terms: 3(4 + n) + -8 = 11 + -1(6 + -2n) (4 * 3 + n * 3) + -8 = 11 + -1(6 + -2n) (12 + 3n) + -8 = 11 + -1(6 + -2n) Reorder the terms: 12 + -8 + 3n = 11 + -1(6 + -2n) Combine like terms: 12 + -8 = 4 4 + 3n = 11 + -1(6 + -2n) 4 + 3n = 11 + (6 * -1 + -2n * -1) 4 + 3n = 11 + (-6 + 2n) Combine like terms: 11 + -6 = 5 4 + 3n = 5 + 2n Solving 4 + 3n = 5 + 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. 4 + 3n + -2n = 5 + 2n + -2n Combine like terms: 3n + -2n = 1n 4 + 1n = 5 + 2n + -2n Combine like terms: 2n + -2n = 0 4 + 1n = 5 + 0 4 + 1n = 5 Add '-4' to each side of the equation. 4 + -4 + 1n = 5 + -4 Combine like terms: 4 + -4 = 0 0 + 1n = 5 + -4 1n = 5 + -4 Combine like terms: 5 + -4 = 1 1n = 1 Divide each side by '1'. n = 1 Simplifying n = 1
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