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Simplifying 8 + 7n + -4 = 9n + 10 + -4n Reorder the terms: 8 + -4 + 7n = 9n + 10 + -4n Combine like terms: 8 + -4 = 4 4 + 7n = 9n + 10 + -4n Reorder the terms: 4 + 7n = 10 + 9n + -4n Combine like terms: 9n + -4n = 5n 4 + 7n = 10 + 5n Solving 4 + 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. 4 + 7n + -5n = 10 + 5n + -5n Combine like terms: 7n + -5n = 2n 4 + 2n = 10 + 5n + -5n Combine like terms: 5n + -5n = 0 4 + 2n = 10 + 0 4 + 2n = 10 Add '-4' to each side of the equation. 4 + -4 + 2n = 10 + -4 Combine like terms: 4 + -4 = 0 0 + 2n = 10 + -4 2n = 10 + -4 Combine like terms: 10 + -4 = 6 2n = 6 Divide each side by '2'. n = 3 Simplifying n = 3
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