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