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Simplifying 13 + -4n + -16 = 8n + 21 + -6n Reorder the terms: 13 + -16 + -4n = 8n + 21 + -6n Combine like terms: 13 + -16 = -3 -3 + -4n = 8n + 21 + -6n Reorder the terms: -3 + -4n = 21 + 8n + -6n Combine like terms: 8n + -6n = 2n -3 + -4n = 21 + 2n Solving -3 + -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. -3 + -4n + -2n = 21 + 2n + -2n Combine like terms: -4n + -2n = -6n -3 + -6n = 21 + 2n + -2n Combine like terms: 2n + -2n = 0 -3 + -6n = 21 + 0 -3 + -6n = 21 Add '3' to each side of the equation. -3 + 3 + -6n = 21 + 3 Combine like terms: -3 + 3 = 0 0 + -6n = 21 + 3 -6n = 21 + 3 Combine like terms: 21 + 3 = 24 -6n = 24 Divide each side by '-6'. n = -4 Simplifying n = -4
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