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Simplifying 6(3 + n) = 5(n + -1) (3 * 6 + n * 6) = 5(n + -1) (18 + 6n) = 5(n + -1) Reorder the terms: 18 + 6n = 5(-1 + n) 18 + 6n = (-1 * 5 + n * 5) 18 + 6n = (-5 + 5n) Solving 18 + 6n = -5 + 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 + 6n + -5n = -5 + 5n + -5n Combine like terms: 6n + -5n = 1n 18 + 1n = -5 + 5n + -5n Combine like terms: 5n + -5n = 0 18 + 1n = -5 + 0 18 + 1n = -5 Add '-18' to each side of the equation. 18 + -18 + 1n = -5 + -18 Combine like terms: 18 + -18 = 0 0 + 1n = -5 + -18 1n = -5 + -18 Combine like terms: -5 + -18 = -23 1n = -23 Divide each side by '1'. n = -23 Simplifying n = -23
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