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