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Simplifying n + 2 + 2 = -12 + 7n + -4n Reorder the terms: 2 + 2 + n = -12 + 7n + -4n Combine like terms: 2 + 2 = 4 4 + n = -12 + 7n + -4n Combine like terms: 7n + -4n = 3n 4 + n = -12 + 3n Solving 4 + n = -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 + n + -3n = -12 + 3n + -3n Combine like terms: n + -3n = -2n 4 + -2n = -12 + 3n + -3n Combine like terms: 3n + -3n = 0 4 + -2n = -12 + 0 4 + -2n = -12 Add '-4' to each side of the equation. 4 + -4 + -2n = -12 + -4 Combine like terms: 4 + -4 = 0 0 + -2n = -12 + -4 -2n = -12 + -4 Combine like terms: -12 + -4 = -16 -2n = -16 Divide each side by '-2'. n = 8 Simplifying n = 8
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