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Simplifying n + 5 = 3(n + 7) Reorder the terms: 5 + n = 3(n + 7) Reorder the terms: 5 + n = 3(7 + n) 5 + n = (7 * 3 + n * 3) 5 + n = (21 + 3n) Solving 5 + n = 21 + 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 = 21 + 3n + -3n Combine like terms: n + -3n = -2n 5 + -2n = 21 + 3n + -3n Combine like terms: 3n + -3n = 0 5 + -2n = 21 + 0 5 + -2n = 21 Add '-5' to each side of the equation. 5 + -5 + -2n = 21 + -5 Combine like terms: 5 + -5 = 0 0 + -2n = 21 + -5 -2n = 21 + -5 Combine like terms: 21 + -5 = 16 -2n = 16 Divide each side by '-2'. n = -8 Simplifying n = -8
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