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Simplifying 7 + -1(3n + -7) = -7 Reorder the terms: 7 + -1(-7 + 3n) = -7 7 + (-7 * -1 + 3n * -1) = -7 7 + (7 + -3n) = -7 Combine like terms: 7 + 7 = 14 14 + -3n = -7 Solving 14 + -3n = -7 Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-14' to each side of the equation. 14 + -14 + -3n = -7 + -14 Combine like terms: 14 + -14 = 0 0 + -3n = -7 + -14 -3n = -7 + -14 Combine like terms: -7 + -14 = -21 -3n = -21 Divide each side by '-3'. n = 7 Simplifying n = 7
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