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Simplifying 7n + 18 = 6n + -1(n + -9) Reorder the terms: 18 + 7n = 6n + -1(n + -9) Reorder the terms: 18 + 7n = 6n + -1(-9 + n) 18 + 7n = 6n + (-9 * -1 + n * -1) 18 + 7n = 6n + (9 + -1n) Reorder the terms: 18 + 7n = 9 + 6n + -1n Combine like terms: 6n + -1n = 5n 18 + 7n = 9 + 5n Solving 18 + 7n = 9 + 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 + 7n + -5n = 9 + 5n + -5n Combine like terms: 7n + -5n = 2n 18 + 2n = 9 + 5n + -5n Combine like terms: 5n + -5n = 0 18 + 2n = 9 + 0 18 + 2n = 9 Add '-18' to each side of the equation. 18 + -18 + 2n = 9 + -18 Combine like terms: 18 + -18 = 0 0 + 2n = 9 + -18 2n = 9 + -18 Combine like terms: 9 + -18 = -9 2n = -9 Divide each side by '2'. n = -4.5 Simplifying n = -4.5
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