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Simplifying 4(3n + 6) + -6 = 11 + 5n Reorder the terms: 4(6 + 3n) + -6 = 11 + 5n (6 * 4 + 3n * 4) + -6 = 11 + 5n (24 + 12n) + -6 = 11 + 5n Reorder the terms: 24 + -6 + 12n = 11 + 5n Combine like terms: 24 + -6 = 18 18 + 12n = 11 + 5n Solving 18 + 12n = 11 + 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 + 12n + -5n = 11 + 5n + -5n Combine like terms: 12n + -5n = 7n 18 + 7n = 11 + 5n + -5n Combine like terms: 5n + -5n = 0 18 + 7n = 11 + 0 18 + 7n = 11 Add '-18' to each side of the equation. 18 + -18 + 7n = 11 + -18 Combine like terms: 18 + -18 = 0 0 + 7n = 11 + -18 7n = 11 + -18 Combine like terms: 11 + -18 = -7 7n = -7 Divide each side by '7'. n = -1 Simplifying n = -1
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