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Simplifying 8 + 19n + -3 = 7n + 89 + -2n Reorder the terms: 8 + -3 + 19n = 7n + 89 + -2n Combine like terms: 8 + -3 = 5 5 + 19n = 7n + 89 + -2n Reorder the terms: 5 + 19n = 89 + 7n + -2n Combine like terms: 7n + -2n = 5n 5 + 19n = 89 + 5n Solving 5 + 19n = 89 + 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. 5 + 19n + -5n = 89 + 5n + -5n Combine like terms: 19n + -5n = 14n 5 + 14n = 89 + 5n + -5n Combine like terms: 5n + -5n = 0 5 + 14n = 89 + 0 5 + 14n = 89 Add '-5' to each side of the equation. 5 + -5 + 14n = 89 + -5 Combine like terms: 5 + -5 = 0 0 + 14n = 89 + -5 14n = 89 + -5 Combine like terms: 89 + -5 = 84 14n = 84 Divide each side by '14'. n = 6 Simplifying n = 6
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