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Simplifying 12 + 3n = 5n + 8 Reorder the terms: 12 + 3n = 8 + 5n Solving 12 + 3n = 8 + 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. 12 + 3n + -5n = 8 + 5n + -5n Combine like terms: 3n + -5n = -2n 12 + -2n = 8 + 5n + -5n Combine like terms: 5n + -5n = 0 12 + -2n = 8 + 0 12 + -2n = 8 Add '-12' to each side of the equation. 12 + -12 + -2n = 8 + -12 Combine like terms: 12 + -12 = 0 0 + -2n = 8 + -12 -2n = 8 + -12 Combine like terms: 8 + -12 = -4 -2n = -4 Divide each side by '-2'. n = 2 Simplifying n = 2
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