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Simplifying 2(9n + 2) = 5n + -9 Reorder the terms: 2(2 + 9n) = 5n + -9 (2 * 2 + 9n * 2) = 5n + -9 (4 + 18n) = 5n + -9 Reorder the terms: 4 + 18n = -9 + 5n Solving 4 + 18n = -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. 4 + 18n + -5n = -9 + 5n + -5n Combine like terms: 18n + -5n = 13n 4 + 13n = -9 + 5n + -5n Combine like terms: 5n + -5n = 0 4 + 13n = -9 + 0 4 + 13n = -9 Add '-4' to each side of the equation. 4 + -4 + 13n = -9 + -4 Combine like terms: 4 + -4 = 0 0 + 13n = -9 + -4 13n = -9 + -4 Combine like terms: -9 + -4 = -13 13n = -13 Divide each side by '13'. n = -1 Simplifying n = -1
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