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Simplifying 3(6 + -1n) = 21 + -6n (6 * 3 + -1n * 3) = 21 + -6n (18 + -3n) = 21 + -6n Solving 18 + -3n = 21 + -6n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '6n' to each side of the equation. 18 + -3n + 6n = 21 + -6n + 6n Combine like terms: -3n + 6n = 3n 18 + 3n = 21 + -6n + 6n Combine like terms: -6n + 6n = 0 18 + 3n = 21 + 0 18 + 3n = 21 Add '-18' to each side of the equation. 18 + -18 + 3n = 21 + -18 Combine like terms: 18 + -18 = 0 0 + 3n = 21 + -18 3n = 21 + -18 Combine like terms: 21 + -18 = 3 3n = 3 Divide each side by '3'. n = 1 Simplifying n = 1
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