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Simplifying 12 + 7n = 1n + -6 Reorder the terms: 12 + 7n = -6 + 1n Solving 12 + 7n = -6 + 1n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-1n' to each side of the equation. 12 + 7n + -1n = -6 + 1n + -1n Combine like terms: 7n + -1n = 6n 12 + 6n = -6 + 1n + -1n Combine like terms: 1n + -1n = 0 12 + 6n = -6 + 0 12 + 6n = -6 Add '-12' to each side of the equation. 12 + -12 + 6n = -6 + -12 Combine like terms: 12 + -12 = 0 0 + 6n = -6 + -12 6n = -6 + -12 Combine like terms: -6 + -12 = -18 6n = -18 Divide each side by '6'. n = -3 Simplifying n = -3
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