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Simplifying n + 6 + n = -12 + -1n Reorder the terms: 6 + n + n = -12 + -1n Combine like terms: n + n = 2n 6 + 2n = -12 + -1n Solving 6 + 2n = -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 + 2n + n = -12 + -1n + n Combine like terms: 2n + n = 3n 6 + 3n = -12 + -1n + n Combine like terms: -1n + n = 0 6 + 3n = -12 + 0 6 + 3n = -12 Add '-6' to each side of the equation. 6 + -6 + 3n = -12 + -6 Combine like terms: 6 + -6 = 0 0 + 3n = -12 + -6 3n = -12 + -6 Combine like terms: -12 + -6 = -18 3n = -18 Divide each side by '3'. n = -6 Simplifying n = -6
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