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Simplifying -6 + 7n + -7 = -1 + -5n Reorder the terms: -6 + -7 + 7n = -1 + -5n Combine like terms: -6 + -7 = -13 -13 + 7n = -1 + -5n Solving -13 + 7n = -1 + -5n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '5n' to each side of the equation. -13 + 7n + 5n = -1 + -5n + 5n Combine like terms: 7n + 5n = 12n -13 + 12n = -1 + -5n + 5n Combine like terms: -5n + 5n = 0 -13 + 12n = -1 + 0 -13 + 12n = -1 Add '13' to each side of the equation. -13 + 13 + 12n = -1 + 13 Combine like terms: -13 + 13 = 0 0 + 12n = -1 + 13 12n = -1 + 13 Combine like terms: -1 + 13 = 12 12n = 12 Divide each side by '12'. n = 1 Simplifying n = 1
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