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Simplifying 3(2n + 6) = 5n + -12 + -1n Reorder the terms: 3(6 + 2n) = 5n + -12 + -1n (6 * 3 + 2n * 3) = 5n + -12 + -1n (18 + 6n) = 5n + -12 + -1n Reorder the terms: 18 + 6n = -12 + 5n + -1n Combine like terms: 5n + -1n = 4n 18 + 6n = -12 + 4n Solving 18 + 6n = -12 + 4n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-4n' to each side of the equation. 18 + 6n + -4n = -12 + 4n + -4n Combine like terms: 6n + -4n = 2n 18 + 2n = -12 + 4n + -4n Combine like terms: 4n + -4n = 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 = -30 2n = -30 Divide each side by '2'. n = -15 Simplifying n = -15
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