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Simplifying -1n + 4 + -5n + 6 = 21 + 3n Reorder the terms: 4 + 6 + -1n + -5n = 21 + 3n Combine like terms: 4 + 6 = 10 10 + -1n + -5n = 21 + 3n Combine like terms: -1n + -5n = -6n 10 + -6n = 21 + 3n Solving 10 + -6n = 21 + 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. 10 + -6n + -3n = 21 + 3n + -3n Combine like terms: -6n + -3n = -9n 10 + -9n = 21 + 3n + -3n Combine like terms: 3n + -3n = 0 10 + -9n = 21 + 0 10 + -9n = 21 Add '-10' to each side of the equation. 10 + -10 + -9n = 21 + -10 Combine like terms: 10 + -10 = 0 0 + -9n = 21 + -10 -9n = 21 + -10 Combine like terms: 21 + -10 = 11 -9n = 11 Divide each side by '-9'. n = -1.222222222 Simplifying n = -1.222222222
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