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Simplifying 9n + 18 = -2(1 + -7n) Reorder the terms: 18 + 9n = -2(1 + -7n) 18 + 9n = (1 * -2 + -7n * -2) 18 + 9n = (-2 + 14n) Solving 18 + 9n = -2 + 14n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-14n' to each side of the equation. 18 + 9n + -14n = -2 + 14n + -14n Combine like terms: 9n + -14n = -5n 18 + -5n = -2 + 14n + -14n Combine like terms: 14n + -14n = 0 18 + -5n = -2 + 0 18 + -5n = -2 Add '-18' to each side of the equation. 18 + -18 + -5n = -2 + -18 Combine like terms: 18 + -18 = 0 0 + -5n = -2 + -18 -5n = -2 + -18 Combine like terms: -2 + -18 = -20 -5n = -20 Divide each side by '-5'. n = 4 Simplifying n = 4
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