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Simplifying -1n + 5n + 3 = 6n + 27 Reorder the terms: 3 + -1n + 5n = 6n + 27 Combine like terms: -1n + 5n = 4n 3 + 4n = 6n + 27 Reorder the terms: 3 + 4n = 27 + 6n Solving 3 + 4n = 27 + 6n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-6n' to each side of the equation. 3 + 4n + -6n = 27 + 6n + -6n Combine like terms: 4n + -6n = -2n 3 + -2n = 27 + 6n + -6n Combine like terms: 6n + -6n = 0 3 + -2n = 27 + 0 3 + -2n = 27 Add '-3' to each side of the equation. 3 + -3 + -2n = 27 + -3 Combine like terms: 3 + -3 = 0 0 + -2n = 27 + -3 -2n = 27 + -3 Combine like terms: 27 + -3 = 24 -2n = 24 Divide each side by '-2'. n = -12 Simplifying n = -12
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