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Simplifying 2n + -27 = -32 + 3n Reorder the terms: -27 + 2n = -32 + 3n Solving -27 + 2n = -32 + 3n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-3n' to each side of the equation. -27 + 2n + -3n = -32 + 3n + -3n Combine like terms: 2n + -3n = -1n -27 + -1n = -32 + 3n + -3n Combine like terms: 3n + -3n = 0 -27 + -1n = -32 + 0 -27 + -1n = -32 Add '27' to each side of the equation. -27 + 27 + -1n = -32 + 27 Combine like terms: -27 + 27 = 0 0 + -1n = -32 + 27 -1n = -32 + 27 Combine like terms: -32 + 27 = -5 -1n = -5 Divide each side by '-1'. n = 5 Simplifying n = 5
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