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Simplifying 21n + -27 = 16n + 56 + -96 Reorder the terms: -27 + 21n = 16n + 56 + -96 Reorder the terms: -27 + 21n = 56 + -96 + 16n Combine like terms: 56 + -96 = -40 -27 + 21n = -40 + 16n Solving -27 + 21n = -40 + 16n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-16n' to each side of the equation. -27 + 21n + -16n = -40 + 16n + -16n Combine like terms: 21n + -16n = 5n -27 + 5n = -40 + 16n + -16n Combine like terms: 16n + -16n = 0 -27 + 5n = -40 + 0 -27 + 5n = -40 Add '27' to each side of the equation. -27 + 27 + 5n = -40 + 27 Combine like terms: -27 + 27 = 0 0 + 5n = -40 + 27 5n = -40 + 27 Combine like terms: -40 + 27 = -13 5n = -13 Divide each side by '5'. n = -2.6 Simplifying n = -2.6
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