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Simplifying 8 + 4n + -3 = 6n + 21 + -4n Reorder the terms: 8 + -3 + 4n = 6n + 21 + -4n Combine like terms: 8 + -3 = 5 5 + 4n = 6n + 21 + -4n Reorder the terms: 5 + 4n = 21 + 6n + -4n Combine like terms: 6n + -4n = 2n 5 + 4n = 21 + 2n Solving 5 + 4n = 21 + 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. 5 + 4n + -2n = 21 + 2n + -2n Combine like terms: 4n + -2n = 2n 5 + 2n = 21 + 2n + -2n Combine like terms: 2n + -2n = 0 5 + 2n = 21 + 0 5 + 2n = 21 Add '-5' to each side of the equation. 5 + -5 + 2n = 21 + -5 Combine like terms: 5 + -5 = 0 0 + 2n = 21 + -5 2n = 21 + -5 Combine like terms: 21 + -5 = 16 2n = 16 Divide each side by '2'. n = 8 Simplifying n = 8
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