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Simplifying -7n + 1 = 1 + 12n Reorder the terms: 1 + -7n = 1 + 12n Add '-1' to each side of the equation. 1 + -1 + -7n = 1 + -1 + 12n Combine like terms: 1 + -1 = 0 0 + -7n = 1 + -1 + 12n -7n = 1 + -1 + 12n Combine like terms: 1 + -1 = 0 -7n = 0 + 12n -7n = 12n Solving -7n = 12n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-12n' to each side of the equation. -7n + -12n = 12n + -12n Combine like terms: -7n + -12n = -19n -19n = 12n + -12n Combine like terms: 12n + -12n = 0 -19n = 0 Divide each side by '-19'. n = 0 Simplifying n = 0
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