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Simplifying 71 + 5n = 2n + -27 Reorder the terms: 71 + 5n = -27 + 2n Solving 71 + 5n = -27 + 2n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-2n' to each side of the equation. 71 + 5n + -2n = -27 + 2n + -2n Combine like terms: 5n + -2n = 3n 71 + 3n = -27 + 2n + -2n Combine like terms: 2n + -2n = 0 71 + 3n = -27 + 0 71 + 3n = -27 Add '-71' to each side of the equation. 71 + -71 + 3n = -27 + -71 Combine like terms: 71 + -71 = 0 0 + 3n = -27 + -71 3n = -27 + -71 Combine like terms: -27 + -71 = -98 3n = -98 Divide each side by '3'. n = -32.66666667 Simplifying n = -32.66666667
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