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Simplifying 4n + 8 = 9n + -12 Reorder the terms: 8 + 4n = 9n + -12 Reorder the terms: 8 + 4n = -12 + 9n Solving 8 + 4n = -12 + 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 = -12 + 9n + -9n Combine like terms: 4n + -9n = -5n 8 + -5n = -12 + 9n + -9n Combine like terms: 9n + -9n = 0 8 + -5n = -12 + 0 8 + -5n = -12 Add '-8' to each side of the equation. 8 + -8 + -5n = -12 + -8 Combine like terms: 8 + -8 = 0 0 + -5n = -12 + -8 -5n = -12 + -8 Combine like terms: -12 + -8 = -20 -5n = -20 Divide each side by '-5'. n = 4 Simplifying n = 4
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