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Simplifying 8.1n + 9 = 5.1n + -3 Reorder the terms: 9 + 8.1n = 5.1n + -3 Reorder the terms: 9 + 8.1n = -3 + 5.1n Solving 9 + 8.1n = -3 + 5.1n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-5.1n' to each side of the equation. 9 + 8.1n + -5.1n = -3 + 5.1n + -5.1n Combine like terms: 8.1n + -5.1n = 3n 9 + 3n = -3 + 5.1n + -5.1n Combine like terms: 5.1n + -5.1n = 0.0 9 + 3n = -3 + 0.0 9 + 3n = -3 Add '-9' to each side of the equation. 9 + -9 + 3n = -3 + -9 Combine like terms: 9 + -9 = 0 0 + 3n = -3 + -9 3n = -3 + -9 Combine like terms: -3 + -9 = -12 3n = -12 Divide each side by '3'. n = -4 Simplifying n = -4
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