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Simplifying 2n + 45 = 12 + 5n Reorder the terms: 45 + 2n = 12 + 5n Solving 45 + 2n = 12 + 5n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-5n' to each side of the equation. 45 + 2n + -5n = 12 + 5n + -5n Combine like terms: 2n + -5n = -3n 45 + -3n = 12 + 5n + -5n Combine like terms: 5n + -5n = 0 45 + -3n = 12 + 0 45 + -3n = 12 Add '-45' to each side of the equation. 45 + -45 + -3n = 12 + -45 Combine like terms: 45 + -45 = 0 0 + -3n = 12 + -45 -3n = 12 + -45 Combine like terms: 12 + -45 = -33 -3n = -33 Divide each side by '-3'. n = 11 Simplifying n = 11
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