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Simplifying 5n + 3(6 + -1n) = 6 + 5n 5n + (6 * 3 + -1n * 3) = 6 + 5n 5n + (18 + -3n) = 6 + 5n Reorder the terms: 18 + 5n + -3n = 6 + 5n Combine like terms: 5n + -3n = 2n 18 + 2n = 6 + 5n Solving 18 + 2n = 6 + 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 + 2n + -5n = 6 + 5n + -5n Combine like terms: 2n + -5n = -3n 18 + -3n = 6 + 5n + -5n Combine like terms: 5n + -5n = 0 18 + -3n = 6 + 0 18 + -3n = 6 Add '-18' to each side of the equation. 18 + -18 + -3n = 6 + -18 Combine like terms: 18 + -18 = 0 0 + -3n = 6 + -18 -3n = 6 + -18 Combine like terms: 6 + -18 = -12 -3n = -12 Divide each side by '-3'. n = 4 Simplifying n = 4
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