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Simplifying -4n + 8 = -9n + 43 Reorder the terms: 8 + -4n = -9n + 43 Reorder the terms: 8 + -4n = 43 + -9n Solving 8 + -4n = 43 + -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. 8 + -4n + 9n = 43 + -9n + 9n Combine like terms: -4n + 9n = 5n 8 + 5n = 43 + -9n + 9n Combine like terms: -9n + 9n = 0 8 + 5n = 43 + 0 8 + 5n = 43 Add '-8' to each side of the equation. 8 + -8 + 5n = 43 + -8 Combine like terms: 8 + -8 = 0 0 + 5n = 43 + -8 5n = 43 + -8 Combine like terms: 43 + -8 = 35 5n = 35 Divide each side by '5'. n = 7 Simplifying n = 7
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