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Simplifying -5n + 3(6 + 7n) = 9n + -4 -5n + (6 * 3 + 7n * 3) = 9n + -4 -5n + (18 + 21n) = 9n + -4 Reorder the terms: 18 + -5n + 21n = 9n + -4 Combine like terms: -5n + 21n = 16n 18 + 16n = 9n + -4 Reorder the terms: 18 + 16n = -4 + 9n Solving 18 + 16n = -4 + 9n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-9n' to each side of the equation. 18 + 16n + -9n = -4 + 9n + -9n Combine like terms: 16n + -9n = 7n 18 + 7n = -4 + 9n + -9n Combine like terms: 9n + -9n = 0 18 + 7n = -4 + 0 18 + 7n = -4 Add '-18' to each side of the equation. 18 + -18 + 7n = -4 + -18 Combine like terms: 18 + -18 = 0 0 + 7n = -4 + -18 7n = -4 + -18 Combine like terms: -4 + -18 = -22 7n = -22 Divide each side by '7'. n = -3.142857143 Simplifying n = -3.142857143
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