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Simplifying 12n + 8 + -16n = 5n + 6 + -8n Reorder the terms: 8 + 12n + -16n = 5n + 6 + -8n Combine like terms: 12n + -16n = -4n 8 + -4n = 5n + 6 + -8n Reorder the terms: 8 + -4n = 6 + 5n + -8n Combine like terms: 5n + -8n = -3n 8 + -4n = 6 + -3n Solving 8 + -4n = 6 + -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. 8 + -4n + 3n = 6 + -3n + 3n Combine like terms: -4n + 3n = -1n 8 + -1n = 6 + -3n + 3n Combine like terms: -3n + 3n = 0 8 + -1n = 6 + 0 8 + -1n = 6 Add '-8' to each side of the equation. 8 + -8 + -1n = 6 + -8 Combine like terms: 8 + -8 = 0 0 + -1n = 6 + -8 -1n = 6 + -8 Combine like terms: 6 + -8 = -2 -1n = -2 Divide each side by '-1'. n = 2 Simplifying n = 2
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