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Simplifying n + (n + 7) = 27 + -2n Reorder the terms: n + (7 + n) = 27 + -2n Remove parenthesis around (7 + n) n + 7 + n = 27 + -2n Reorder the terms: 7 + n + n = 27 + -2n Combine like terms: n + n = 2n 7 + 2n = 27 + -2n Solving 7 + 2n = 27 + -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. 7 + 2n + 2n = 27 + -2n + 2n Combine like terms: 2n + 2n = 4n 7 + 4n = 27 + -2n + 2n Combine like terms: -2n + 2n = 0 7 + 4n = 27 + 0 7 + 4n = 27 Add '-7' to each side of the equation. 7 + -7 + 4n = 27 + -7 Combine like terms: 7 + -7 = 0 0 + 4n = 27 + -7 4n = 27 + -7 Combine like terms: 27 + -7 = 20 4n = 20 Divide each side by '4'. n = 5 Simplifying n = 5
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