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Simplifying 5n + -6 = 12 + -1n Reorder the terms: -6 + 5n = 12 + -1n Solving -6 + 5n = 12 + -1n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add 'n' to each side of the equation. -6 + 5n + n = 12 + -1n + n Combine like terms: 5n + n = 6n -6 + 6n = 12 + -1n + n Combine like terms: -1n + n = 0 -6 + 6n = 12 + 0 -6 + 6n = 12 Add '6' to each side of the equation. -6 + 6 + 6n = 12 + 6 Combine like terms: -6 + 6 = 0 0 + 6n = 12 + 6 6n = 12 + 6 Combine like terms: 12 + 6 = 18 6n = 18 Divide each side by '6'. n = 3 Simplifying n = 3
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