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Simplifying 25 + 9n + 5n + -19 = 23 + 10 + -9n + -4 Reorder the terms: 25 + -19 + 9n + 5n = 23 + 10 + -9n + -4 Combine like terms: 25 + -19 = 6 6 + 9n + 5n = 23 + 10 + -9n + -4 Combine like terms: 9n + 5n = 14n 6 + 14n = 23 + 10 + -9n + -4 Reorder the terms: 6 + 14n = 23 + 10 + -4 + -9n Combine like terms: 23 + 10 = 33 6 + 14n = 33 + -4 + -9n Combine like terms: 33 + -4 = 29 6 + 14n = 29 + -9n Solving 6 + 14n = 29 + -9n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '9n' to each side of the equation. 6 + 14n + 9n = 29 + -9n + 9n Combine like terms: 14n + 9n = 23n 6 + 23n = 29 + -9n + 9n Combine like terms: -9n + 9n = 0 6 + 23n = 29 + 0 6 + 23n = 29 Add '-6' to each side of the equation. 6 + -6 + 23n = 29 + -6 Combine like terms: 6 + -6 = 0 0 + 23n = 29 + -6 23n = 29 + -6 Combine like terms: 29 + -6 = 23 23n = 23 Divide each side by '23'. n = 1 Simplifying n = 1
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