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Simplifying 12 + 5n = 18 + 3n Solving 12 + 5n = 18 + 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. 12 + 5n + -3n = 18 + 3n + -3n Combine like terms: 5n + -3n = 2n 12 + 2n = 18 + 3n + -3n Combine like terms: 3n + -3n = 0 12 + 2n = 18 + 0 12 + 2n = 18 Add '-12' to each side of the equation. 12 + -12 + 2n = 18 + -12 Combine like terms: 12 + -12 = 0 0 + 2n = 18 + -12 2n = 18 + -12 Combine like terms: 18 + -12 = 6 2n = 6 Divide each side by '2'. n = 3 Simplifying n = 3
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