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Simplifying 5 + 2n + -1 = 7n + 12 + -4n Reorder the terms: 5 + -1 + 2n = 7n + 12 + -4n Combine like terms: 5 + -1 = 4 4 + 2n = 7n + 12 + -4n Reorder the terms: 4 + 2n = 12 + 7n + -4n Combine like terms: 7n + -4n = 3n 4 + 2n = 12 + 3n Solving 4 + 2n = 12 + 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. 4 + 2n + -3n = 12 + 3n + -3n Combine like terms: 2n + -3n = -1n 4 + -1n = 12 + 3n + -3n Combine like terms: 3n + -3n = 0 4 + -1n = 12 + 0 4 + -1n = 12 Add '-4' to each side of the equation. 4 + -4 + -1n = 12 + -4 Combine like terms: 4 + -4 = 0 0 + -1n = 12 + -4 -1n = 12 + -4 Combine like terms: 12 + -4 = 8 -1n = 8 Divide each side by '-1'. n = -8 Simplifying n = -8
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