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Simplifying 9 + 7n + -5 = 9n + 44 + -7n Reorder the terms: 9 + -5 + 7n = 9n + 44 + -7n Combine like terms: 9 + -5 = 4 4 + 7n = 9n + 44 + -7n Reorder the terms: 4 + 7n = 44 + 9n + -7n Combine like terms: 9n + -7n = 2n 4 + 7n = 44 + 2n Solving 4 + 7n = 44 + 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. 4 + 7n + -2n = 44 + 2n + -2n Combine like terms: 7n + -2n = 5n 4 + 5n = 44 + 2n + -2n Combine like terms: 2n + -2n = 0 4 + 5n = 44 + 0 4 + 5n = 44 Add '-4' to each side of the equation. 4 + -4 + 5n = 44 + -4 Combine like terms: 4 + -4 = 0 0 + 5n = 44 + -4 5n = 44 + -4 Combine like terms: 44 + -4 = 40 5n = 40 Divide each side by '5'. n = 8 Simplifying n = 8
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