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Simplifying (n + 4) + -3n + -1(2 + -6n) = 12 Reorder the terms: (4 + n) + -3n + -1(2 + -6n) = 12 Remove parenthesis around (4 + n) 4 + n + -3n + -1(2 + -6n) = 12 4 + n + -3n + (2 * -1 + -6n * -1) = 12 4 + n + -3n + (-2 + 6n) = 12 Reorder the terms: 4 + -2 + n + -3n + 6n = 12 Combine like terms: 4 + -2 = 2 2 + n + -3n + 6n = 12 Combine like terms: n + -3n = -2n 2 + -2n + 6n = 12 Combine like terms: -2n + 6n = 4n 2 + 4n = 12 Solving 2 + 4n = 12 Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-2' to each side of the equation. 2 + -2 + 4n = 12 + -2 Combine like terms: 2 + -2 = 0 0 + 4n = 12 + -2 4n = 12 + -2 Combine like terms: 12 + -2 = 10 4n = 10 Divide each side by '4'. n = 2.5 Simplifying n = 2.5
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