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Simplifying 7n + 18 = 5(n + -2) Reorder the terms: 18 + 7n = 5(n + -2) Reorder the terms: 18 + 7n = 5(-2 + n) 18 + 7n = (-2 * 5 + n * 5) 18 + 7n = (-10 + 5n) Solving 18 + 7n = -10 + 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 = -10 + 5n + -5n Combine like terms: 7n + -5n = 2n 18 + 2n = -10 + 5n + -5n Combine like terms: 5n + -5n = 0 18 + 2n = -10 + 0 18 + 2n = -10 Add '-18' to each side of the equation. 18 + -18 + 2n = -10 + -18 Combine like terms: 18 + -18 = 0 0 + 2n = -10 + -18 2n = -10 + -18 Combine like terms: -10 + -18 = -28 2n = -28 Divide each side by '2'. n = -14 Simplifying n = -14
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