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Simplifying 4n + -12 = 13 + -1n Reorder the terms: -12 + 4n = 13 + -1n Solving -12 + 4n = 13 + -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. -12 + 4n + n = 13 + -1n + n Combine like terms: 4n + n = 5n -12 + 5n = 13 + -1n + n Combine like terms: -1n + n = 0 -12 + 5n = 13 + 0 -12 + 5n = 13 Add '12' to each side of the equation. -12 + 12 + 5n = 13 + 12 Combine like terms: -12 + 12 = 0 0 + 5n = 13 + 12 5n = 13 + 12 Combine like terms: 13 + 12 = 25 5n = 25 Divide each side by '5'. n = 5 Simplifying n = 5
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