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Simplifying 5n + -6 = -4n + 21 Reorder the terms: -6 + 5n = -4n + 21 Reorder the terms: -6 + 5n = 21 + -4n Solving -6 + 5n = 21 + -4n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '4n' to each side of the equation. -6 + 5n + 4n = 21 + -4n + 4n Combine like terms: 5n + 4n = 9n -6 + 9n = 21 + -4n + 4n Combine like terms: -4n + 4n = 0 -6 + 9n = 21 + 0 -6 + 9n = 21 Add '6' to each side of the equation. -6 + 6 + 9n = 21 + 6 Combine like terms: -6 + 6 = 0 0 + 9n = 21 + 6 9n = 21 + 6 Combine like terms: 21 + 6 = 27 9n = 27 Divide each side by '9'. n = 3 Simplifying n = 3
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