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Simplifying -2.3n + 16 = -5n + -38 Reorder the terms: 16 + -2.3n = -5n + -38 Reorder the terms: 16 + -2.3n = -38 + -5n Solving 16 + -2.3n = -38 + -5n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '5n' to each side of the equation. 16 + -2.3n + 5n = -38 + -5n + 5n Combine like terms: -2.3n + 5n = 2.7n 16 + 2.7n = -38 + -5n + 5n Combine like terms: -5n + 5n = 0 16 + 2.7n = -38 + 0 16 + 2.7n = -38 Add '-16' to each side of the equation. 16 + -16 + 2.7n = -38 + -16 Combine like terms: 16 + -16 = 0 0 + 2.7n = -38 + -16 2.7n = -38 + -16 Combine like terms: -38 + -16 = -54 2.7n = -54 Divide each side by '2.7'. n = -20 Simplifying n = -20
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