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Simplifying 8 + 9n + -7 = 5n + 22 + -3n Reorder the terms: 8 + -7 + 9n = 5n + 22 + -3n Combine like terms: 8 + -7 = 1 1 + 9n = 5n + 22 + -3n Reorder the terms: 1 + 9n = 22 + 5n + -3n Combine like terms: 5n + -3n = 2n 1 + 9n = 22 + 2n Solving 1 + 9n = 22 + 2n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-2n' to each side of the equation. 1 + 9n + -2n = 22 + 2n + -2n Combine like terms: 9n + -2n = 7n 1 + 7n = 22 + 2n + -2n Combine like terms: 2n + -2n = 0 1 + 7n = 22 + 0 1 + 7n = 22 Add '-1' to each side of the equation. 1 + -1 + 7n = 22 + -1 Combine like terms: 1 + -1 = 0 0 + 7n = 22 + -1 7n = 22 + -1 Combine like terms: 22 + -1 = 21 7n = 21 Divide each side by '7'. n = 3 Simplifying n = 3
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