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Simplifying 5 + 3(n + 2) = n + -5 Reorder the terms: 5 + 3(2 + n) = n + -5 5 + (2 * 3 + n * 3) = n + -5 5 + (6 + 3n) = n + -5 Combine like terms: 5 + 6 = 11 11 + 3n = n + -5 Reorder the terms: 11 + 3n = -5 + n Solving 11 + 3n = -5 + n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-1n' to each side of the equation. 11 + 3n + -1n = -5 + n + -1n Combine like terms: 3n + -1n = 2n 11 + 2n = -5 + n + -1n Combine like terms: n + -1n = 0 11 + 2n = -5 + 0 11 + 2n = -5 Add '-11' to each side of the equation. 11 + -11 + 2n = -5 + -11 Combine like terms: 11 + -11 = 0 0 + 2n = -5 + -11 2n = -5 + -11 Combine like terms: -5 + -11 = -16 2n = -16 Divide each side by '2'. n = -8 Simplifying n = -8
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