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Simplifying 5 + n = 3(n + 23) Reorder the terms: 5 + n = 3(23 + n) 5 + n = (23 * 3 + n * 3) 5 + n = (69 + 3n) Solving 5 + n = 69 + 3n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-3n' to each side of the equation. 5 + n + -3n = 69 + 3n + -3n Combine like terms: n + -3n = -2n 5 + -2n = 69 + 3n + -3n Combine like terms: 3n + -3n = 0 5 + -2n = 69 + 0 5 + -2n = 69 Add '-5' to each side of the equation. 5 + -5 + -2n = 69 + -5 Combine like terms: 5 + -5 = 0 0 + -2n = 69 + -5 -2n = 69 + -5 Combine like terms: 69 + -5 = 64 -2n = 64 Divide each side by '-2'. n = -32 Simplifying n = -32
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